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Finding the Fourth Proportional to 8,911,296,179.60, 13,366,944,269.40 and 8,911,296,179.60

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Solution

The fourth proportional to 8,911,296,179.60, 13,366,944,269.40 and 8,911,296,179.60 is: 13,366,944,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911,296,179.60 : 13,366,944,269.40 = 8,911,296,179.60 : x
  2. Step 2: Convert to fraction form
    8,911,296,179.60/13,366,944,269.40 = 8,911,296,179.60/x
  3. Step 3: Cross multiply
    8,911,296,179.60x = 13,366,944,269.40 × 8,911,296,179.60
  4. Step 4: Simplify right side
    8,911,296,179.60x = 119,116,799,400,830,337,024
  5. Step 5: Solve for x
    x = 119,116,799,400,830,337,024/8,911,296,179.60
  6. Step 6: Final answer
    x = 13,366,944,269.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.