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Finding the Fourth Proportional to 42,386,976,019.20, 63,442,714,521.60 and 42,386,976,019.20

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Solution

The fourth proportional to 42,386,976,019.20, 63,442,714,521.60 and 42,386,976,019.20 is: 63,442,714,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,386,976,019.20 : 63,442,714,521.60 = 42,386,976,019.20 : x
  2. Step 2: Convert to fraction form
    42,386,976,019.20/63,442,714,521.60 = 42,386,976,019.20/x
  3. Step 3: Cross multiply
    42,386,976,019.20x = 63,442,714,521.60 × 42,386,976,019.20
  4. Step 4: Simplify right side
    42,386,976,019.20x = 2,689,144,819,020,010,618,880
  5. Step 5: Solve for x
    x = 2,689,144,819,020,010,618,880/42,386,976,019.20
  6. Step 6: Final answer
    x = 63,442,714,521.60

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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.