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Finding the Fourth Proportional to 72,409,464,000.10, 108,614,196,000.15 and 72,409,464,000.10

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Solution

The fourth proportional to 72,409,464,000.10, 108,614,196,000.15 and 72,409,464,000.10 is: 108,614,196,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409,464,000.10 : 108,614,196,000.15 = 72,409,464,000.10 : x
  2. Step 2: Convert to fraction form
    72,409,464,000.10/108,614,196,000.15 = 72,409,464,000.10/x
  3. Step 3: Cross multiply
    72,409,464,000.10x = 108,614,196,000.15 × 72,409,464,000.10
  4. Step 4: Simplify right side
    72,409,464,000.10x = 7,864,695,715,172,667,359,232
  5. Step 5: Solve for x
    x = 7,864,695,715,172,667,359,232/72,409,464,000.10
  6. Step 6: Final answer
    x = 108,614,196,000.15

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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.