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Finding the Fourth Proportional to 6,543,102,515,411.90, 9,814,653,773,117.90 and 6,543,102,515,411.90

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Solution

The fourth proportional to 6,543,102,515,411.90, 9,814,653,773,117.90 and 6,543,102,515,411.90 is: 9,814,653,773,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,102,515,411.90 : 9,814,653,773,117.90 = 6,543,102,515,411.90 : x
  2. Step 2: Convert to fraction form
    6,543,102,515,411.90/9,814,653,773,117.90 = 6,543,102,515,411.90/x
  3. Step 3: Cross multiply
    6,543,102,515,411.90x = 9,814,653,773,117.90 × 6,543,102,515,411.90
  4. Step 4: Simplify right side
    6,543,102,515,411.90x = 64,218,285,790,784,631,819,206,656
  5. Step 5: Solve for x
    x = 64,218,285,790,784,631,819,206,656/6,543,102,515,411.90
  6. Step 6: Final answer
    x = 9,814,653,773,117.90

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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.