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Finding the Fourth Proportional to 146,679,792,002.10, 220,019,688,003.15 and 146,679,792,002.10

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Solution

The fourth proportional to 146,679,792,002.10, 220,019,688,003.15 and 146,679,792,002.10 is: 220,019,688,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,679,792,002.10 : 220,019,688,003.15 = 146,679,792,002.10 : x
  2. Step 2: Convert to fraction form
    146,679,792,002.10/220,019,688,003.15 = 146,679,792,002.10/x
  3. Step 3: Cross multiply
    146,679,792,002.10x = 220,019,688,003.15 × 146,679,792,002.10
  4. Step 4: Simplify right side
    146,679,792,002.10x = 32,272,442,072,668,980,641,792
  5. Step 5: Solve for x
    x = 32,272,442,072,668,980,641,792/146,679,792,002.10
  6. Step 6: Final answer
    x = 220,019,688,003.15

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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.