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Finding the Fourth Proportional to 520,032,138.84, 717,689,752.56 and 285,128,200.15

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Solution

The fourth proportional to 520,032,138.84, 717,689,752.56 and 285,128,200.15 is: 393,501,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032,138.84 : 717,689,752.56 = 285,128,200.15 : x
  2. Step 2: Convert to fraction form
    520,032,138.84/717,689,752.56 = 285,128,200.15/x
  3. Step 3: Cross multiply
    520,032,138.84x = 717,689,752.56 × 285,128,200.15
  4. Step 4: Simplify right side
    520,032,138.84x = 204,633,587,413,531,616
  5. Step 5: Solve for x
    x = 204,633,587,413,531,616/520,032,138.84
  6. Step 6: Final answer
    x = 393,501,809.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.