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Finding the Fourth Proportional to 10,202,112,329.65, 15,278,982,024.08 and 10,202,112,329.65

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Solution

The fourth proportional to 10,202,112,329.65, 15,278,982,024.08 and 10,202,112,329.65 is: 15,278,982,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202,112,329.65 : 15,278,982,024.08 = 10,202,112,329.65 : x
  2. Step 2: Convert to fraction form
    10,202,112,329.65/15,278,982,024.08 = 10,202,112,329.65/x
  3. Step 3: Cross multiply
    10,202,112,329.65x = 15,278,982,024.08 × 10,202,112,329.65
  4. Step 4: Simplify right side
    10,202,112,329.65x = 155,877,890,892,316,278,784
  5. Step 5: Solve for x
    x = 155,877,890,892,316,278,784/10,202,112,329.65
  6. Step 6: Final answer
    x = 15,278,982,024.08

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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.