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Finding the Fourth Proportional to 24,496,564,985.40, 36,744,847,478.10 and 24,496,564,985.40

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Solution

The fourth proportional to 24,496,564,985.40, 36,744,847,478.10 and 24,496,564,985.40 is: 36,744,847,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496,564,985.40 : 36,744,847,478.10 = 24,496,564,985.40 : x
  2. Step 2: Convert to fraction form
    24,496,564,985.40/36,744,847,478.10 = 24,496,564,985.40/x
  3. Step 3: Cross multiply
    24,496,564,985.40x = 36,744,847,478.10 × 24,496,564,985.40
  4. Step 4: Simplify right side
    24,496,564,985.40x = 900,122,544,125,888,036,864
  5. Step 5: Solve for x
    x = 900,122,544,125,888,036,864/24,496,564,985.40
  6. Step 6: Final answer
    x = 36,744,847,478.10

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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.