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Finding the Fourth Proportional to 80,648,136,465.40, 120,739,752,404.70 and 80,648,136,465.40

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Solution

The fourth proportional to 80,648,136,465.40, 120,739,752,404.70 and 80,648,136,465.40 is: 120,739,752,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,648,136,465.40 : 120,739,752,404.70 = 80,648,136,465.40 : x
  2. Step 2: Convert to fraction form
    80,648,136,465.40/120,739,752,404.70 = 80,648,136,465.40/x
  3. Step 3: Cross multiply
    80,648,136,465.40x = 120,739,752,404.70 × 80,648,136,465.40
  4. Step 4: Simplify right side
    80,648,136,465.40x = 9,737,436,028,732,851,617,792
  5. Step 5: Solve for x
    x = 9,737,436,028,732,851,617,792/80,648,136,465.40
  6. Step 6: Final answer
    x = 120,739,752,404.70

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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.