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Finding the Fourth Proportional to 305,772,109.70, 429,290,277.10 and 305,772,109.70

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Solution

The fourth proportional to 305,772,109.70, 429,290,277.10 and 305,772,109.70 is: 429,290,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,772,109.70 : 429,290,277.10 = 305,772,109.70 : x
  2. Step 2: Convert to fraction form
    305,772,109.70/429,290,277.10 = 305,772,109.70/x
  3. Step 3: Cross multiply
    305,772,109.70x = 429,290,277.10 × 305,772,109.70
  4. Step 4: Simplify right side
    305,772,109.70x = 131,264,993,702,564,608
  5. Step 5: Solve for x
    x = 131,264,993,702,564,608/305,772,109.70
  6. Step 6: Final answer
    x = 429,290,277.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.