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Finding the Fourth Proportional to 7,442,488,648.80, 11,163,732,973.20 and 7,442,488,648.80

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Solution

The fourth proportional to 7,442,488,648.80, 11,163,732,973.20 and 7,442,488,648.80 is: 11,163,732,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,488,648.80 : 11,163,732,973.20 = 7,442,488,648.80 : x
  2. Step 2: Convert to fraction form
    7,442,488,648.80/11,163,732,973.20 = 7,442,488,648.80/x
  3. Step 3: Cross multiply
    7,442,488,648.80x = 11,163,732,973.20 × 7,442,488,648.80
  4. Step 4: Simplify right side
    7,442,488,648.80x = 83,085,955,931,275,280,384
  5. Step 5: Solve for x
    x = 83,085,955,931,275,280,384/7,442,488,648.80
  6. Step 6: Final answer
    x = 11,163,732,973.20

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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.