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Finding the Fourth Proportional to 25,902,829,281.60, 38,854,243,922.40 and 25,902,829,281.60

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Solution

The fourth proportional to 25,902,829,281.60, 38,854,243,922.40 and 25,902,829,281.60 is: 38,854,243,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902,829,281.60 : 38,854,243,922.40 = 25,902,829,281.60 : x
  2. Step 2: Convert to fraction form
    25,902,829,281.60/38,854,243,922.40 = 25,902,829,281.60/x
  3. Step 3: Cross multiply
    25,902,829,281.60x = 38,854,243,922.40 × 25,902,829,281.60
  4. Step 4: Simplify right side
    25,902,829,281.60x = 1,006,434,847,187,571,572,736
  5. Step 5: Solve for x
    x = 1,006,434,847,187,571,572,736/25,902,829,281.60
  6. Step 6: Final answer
    x = 38,854,243,922.40

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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.