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Finding the Fourth Proportional to 360,890,352,647.55, 541,335,528,971.32 and 360,890,352,647.55

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Solution

The fourth proportional to 360,890,352,647.55, 541,335,528,971.32 and 360,890,352,647.55 is: 541,335,528,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,890,352,647.55 : 541,335,528,971.32 = 360,890,352,647.55 : x
  2. Step 2: Convert to fraction form
    360,890,352,647.55/541,335,528,971.32 = 360,890,352,647.55/x
  3. Step 3: Cross multiply
    360,890,352,647.55x = 541,335,528,971.32 × 360,890,352,647.55
  4. Step 4: Simplify right side
    360,890,352,647.55x = 195,362,769,951,107,697,344,512
  5. Step 5: Solve for x
    x = 195,362,769,951,107,697,344,512/360,890,352,647.55
  6. Step 6: Final answer
    x = 541,335,528,971.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.