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Finding the Fourth Proportional to 9,894,165,641.15, 14,841,248,461.73 and 9,894,165,641.15

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Solution

The fourth proportional to 9,894,165,641.15, 14,841,248,461.73 and 9,894,165,641.15 is: 14,841,248,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,165,641.15 : 14,841,248,461.73 = 9,894,165,641.15 : x
  2. Step 2: Convert to fraction form
    9,894,165,641.15/14,841,248,461.73 = 9,894,165,641.15/x
  3. Step 3: Cross multiply
    9,894,165,641.15x = 14,841,248,461.73 × 9,894,165,641.15
  4. Step 4: Simplify right side
    9,894,165,641.15x = 146,841,770,601,769,779,200
  5. Step 5: Solve for x
    x = 146,841,770,601,769,779,200/9,894,165,641.15
  6. Step 6: Final answer
    x = 14,841,248,461.73

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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.