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Finding the Fourth Proportional to 489,025,005.10, 733,537,507.65 and 489,025,005.10

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Solution

The fourth proportional to 489,025,005.10, 733,537,507.65 and 489,025,005.10 is: 733,537,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,025,005.10 : 733,537,507.65 = 489,025,005.10 : x
  2. Step 2: Convert to fraction form
    489,025,005.10/733,537,507.65 = 489,025,005.10/x
  3. Step 3: Cross multiply
    489,025,005.10x = 733,537,507.65 × 489,025,005.10
  4. Step 4: Simplify right side
    489,025,005.10x = 358,718,183,419,582,528
  5. Step 5: Solve for x
    x = 358,718,183,419,582,528/489,025,005.10
  6. Step 6: Final answer
    x = 733,537,507.65

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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.