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Finding the Fourth Proportional to 518,341,854.77, 777,512,782.15 and 518,341,854.77

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Solution

The fourth proportional to 518,341,854.77, 777,512,782.15 and 518,341,854.77 is: 777,512,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,341,854.77 : 777,512,782.15 = 518,341,854.77 : x
  2. Step 2: Convert to fraction form
    518,341,854.77/777,512,782.15 = 518,341,854.77/x
  3. Step 3: Cross multiply
    518,341,854.77x = 777,512,782.15 × 518,341,854.77
  4. Step 4: Simplify right side
    518,341,854.77x = 403,017,417,600,534,656
  5. Step 5: Solve for x
    x = 403,017,417,600,534,656/518,341,854.77
  6. Step 6: Final answer
    x = 777,512,782.15

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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.