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Finding the Fourth Proportional to 83,602,351,642.20, 125,403,527,463.30 and 83,602,351,642.20

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Solution

The fourth proportional to 83,602,351,642.20, 125,403,527,463.30 and 83,602,351,642.20 is: 125,403,527,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,351,642.20 : 125,403,527,463.30 = 83,602,351,642.20 : x
  2. Step 2: Convert to fraction form
    83,602,351,642.20/125,403,527,463.30 = 83,602,351,642.20/x
  3. Step 3: Cross multiply
    83,602,351,642.20x = 125,403,527,463.30 × 83,602,351,642.20
  4. Step 4: Simplify right side
    83,602,351,642.20x = 10,484,029,800,159,092,146,176
  5. Step 5: Solve for x
    x = 10,484,029,800,159,092,146,176/83,602,351,642.20
  6. Step 6: Final answer
    x = 125,403,527,463.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.