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Finding the Fourth Proportional to 9,894,165,619.90, 14,841,248,429.85 and 9,894,165,619.90

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Solution

The fourth proportional to 9,894,165,619.90, 14,841,248,429.85 and 9,894,165,619.90 is: 14,841,248,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,165,619.90 : 14,841,248,429.85 = 9,894,165,619.90 : x
  2. Step 2: Convert to fraction form
    9,894,165,619.90/14,841,248,429.85 = 9,894,165,619.90/x
  3. Step 3: Cross multiply
    9,894,165,619.90x = 14,841,248,429.85 × 9,894,165,619.90
  4. Step 4: Simplify right side
    9,894,165,619.90x = 146,841,769,971,016,728,576
  5. Step 5: Solve for x
    x = 146,841,769,971,016,728,576/9,894,165,619.90
  6. Step 6: Final answer
    x = 14,841,248,429.85

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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.