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Finding the Fourth Proportional to 384,911,998.80, 577,367,998.20 and 97,697,662.80

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Solution

The fourth proportional to 384,911,998.80, 577,367,998.20 and 97,697,662.80 is: 146,546,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,911,998.80 : 577,367,998.20 = 97,697,662.80 : x
  2. Step 2: Convert to fraction form
    384,911,998.80/577,367,998.20 = 97,697,662.80/x
  3. Step 3: Cross multiply
    384,911,998.80x = 577,367,998.20 × 97,697,662.80
  4. Step 4: Simplify right side
    384,911,998.80x = 56,407,503,999,654,608
  5. Step 5: Solve for x
    x = 56,407,503,999,654,608/384,911,998.80
  6. Step 6: Final answer
    x = 146,546,494.20

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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.