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Finding the Fourth Proportional to 165,024,887,677.80, 247,537,331,516.70 and 165,024,887,677.80

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Solution

The fourth proportional to 165,024,887,677.80, 247,537,331,516.70 and 165,024,887,677.80 is: 247,537,331,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024,887,677.80 : 247,537,331,516.70 = 165,024,887,677.80 : x
  2. Step 2: Convert to fraction form
    165,024,887,677.80/247,537,331,516.70 = 165,024,887,677.80/x
  3. Step 3: Cross multiply
    165,024,887,677.80x = 247,537,331,516.70 × 165,024,887,677.80
  4. Step 4: Simplify right side
    165,024,887,677.80x = 40,849,820,329,605,756,616,704
  5. Step 5: Solve for x
    x = 40,849,820,329,605,756,616,704/165,024,887,677.80
  6. Step 6: Final answer
    x = 247,537,331,516.70

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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.