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Finding the Fourth Proportional to 98,019,489,849.10, 147,029,234,773.65 and 98,019,489,849.10

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Solution

The fourth proportional to 98,019,489,849.10, 147,029,234,773.65 and 98,019,489,849.10 is: 147,029,234,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019,489,849.10 : 147,029,234,773.65 = 98,019,489,849.10 : x
  2. Step 2: Convert to fraction form
    98,019,489,849.10/147,029,234,773.65 = 98,019,489,849.10/x
  3. Step 3: Cross multiply
    98,019,489,849.10x = 147,029,234,773.65 × 98,019,489,849.10
  4. Step 4: Simplify right side
    98,019,489,849.10x = 14,411,730,585,416,726,740,992
  5. Step 5: Solve for x
    x = 14,411,730,585,416,726,740,992/98,019,489,849.10
  6. Step 6: Final answer
    x = 147,029,234,773.65

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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.