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Finding the Fourth Proportional to 6,368,832,005.60, 9,553,248,008.40 and 6,368,832,005.60

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Solution

The fourth proportional to 6,368,832,005.60, 9,553,248,008.40 and 6,368,832,005.60 is: 9,553,248,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368,832,005.60 : 9,553,248,008.40 = 6,368,832,005.60 : x
  2. Step 2: Convert to fraction form
    6,368,832,005.60/9,553,248,008.40 = 6,368,832,005.60/x
  3. Step 3: Cross multiply
    6,368,832,005.60x = 9,553,248,008.40 × 6,368,832,005.60
  4. Step 4: Simplify right side
    6,368,832,005.60x = 60,843,031,673,332,375,552
  5. Step 5: Solve for x
    x = 60,843,031,673,332,375,552/6,368,832,005.60
  6. Step 6: Final answer
    x = 9,553,248,008.40

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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.