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Finding the Fourth Proportional to 9,894,165,722.90, 14,841,248,584.35 and 9,894,165,722.90

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Solution

The fourth proportional to 9,894,165,722.90, 14,841,248,584.35 and 9,894,165,722.90 is: 14,841,248,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,165,722.90 : 14,841,248,584.35 = 9,894,165,722.90 : x
  2. Step 2: Convert to fraction form
    9,894,165,722.90/14,841,248,584.35 = 9,894,165,722.90/x
  3. Step 3: Cross multiply
    9,894,165,722.90x = 14,841,248,584.35 × 9,894,165,722.90
  4. Step 4: Simplify right side
    9,894,165,722.90x = 146,841,773,028,313,923,584
  5. Step 5: Solve for x
    x = 146,841,773,028,313,923,584/9,894,165,722.90
  6. Step 6: Final answer
    x = 14,841,248,584.35

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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.