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Finding the Fourth Proportional to 40,864,534,657.20, 61,296,801,985.80 and 40,864,534,657.20

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Solution

The fourth proportional to 40,864,534,657.20, 61,296,801,985.80 and 40,864,534,657.20 is: 61,296,801,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864,534,657.20 : 61,296,801,985.80 = 40,864,534,657.20 : x
  2. Step 2: Convert to fraction form
    40,864,534,657.20/61,296,801,985.80 = 40,864,534,657.20/x
  3. Step 3: Cross multiply
    40,864,534,657.20x = 61,296,801,985.80 × 40,864,534,657.20
  4. Step 4: Simplify right side
    40,864,534,657.20x = 2,504,865,289,124,249,600,000
  5. Step 5: Solve for x
    x = 2,504,865,289,124,249,600,000/40,864,534,657.20
  6. Step 6: Final answer
    x = 61,296,801,985.80

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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.