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Finding the Fourth Proportional to 145,531,760,712.90, 218,297,641,069.35 and 145,531,760,712.90

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Solution

The fourth proportional to 145,531,760,712.90, 218,297,641,069.35 and 145,531,760,712.90 is: 218,297,641,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,531,760,712.90 : 218,297,641,069.35 = 145,531,760,712.90 : x
  2. Step 2: Convert to fraction form
    145,531,760,712.90/218,297,641,069.35 = 145,531,760,712.90/x
  3. Step 3: Cross multiply
    145,531,760,712.90x = 218,297,641,069.35 × 145,531,760,712.90
  4. Step 4: Simplify right side
    145,531,760,712.90x = 31,769,240,064,295,176,241,152
  5. Step 5: Solve for x
    x = 31,769,240,064,295,176,241,152/145,531,760,712.90
  6. Step 6: Final answer
    x = 218,297,641,069.35

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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.