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Finding the Fourth Proportional to 487,648,513,720.40, 731,472,770,580.60 and 487,648,513,720.40

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Solution

The fourth proportional to 487,648,513,720.40, 731,472,770,580.60 and 487,648,513,720.40 is: 731,472,770,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,648,513,720.40 : 731,472,770,580.60 = 487,648,513,720.40 : x
  2. Step 2: Convert to fraction form
    487,648,513,720.40/731,472,770,580.60 = 487,648,513,720.40/x
  3. Step 3: Cross multiply
    487,648,513,720.40x = 731,472,770,580.60 × 487,648,513,720.40
  4. Step 4: Simplify right side
    487,648,513,720.40x = 356,701,609,400,572,749,807,616
  5. Step 5: Solve for x
    x = 356,701,609,400,572,749,807,616/487,648,513,720.40
  6. Step 6: Final answer
    x = 731,472,770,580.60

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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.