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Finding the Fourth Proportional to 499,921,214.10, 698,167,830.90 and 499,921,214.10

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Solution

The fourth proportional to 499,921,214.10, 698,167,830.90 and 499,921,214.10 is: 698,167,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,921,214.10 : 698,167,830.90 = 499,921,214.10 : x
  2. Step 2: Convert to fraction form
    499,921,214.10/698,167,830.90 = 499,921,214.10/x
  3. Step 3: Cross multiply
    499,921,214.10x = 698,167,830.90 × 499,921,214.10
  4. Step 4: Simplify right side
    499,921,214.10x = 349,028,909,669,091,520
  5. Step 5: Solve for x
    x = 349,028,909,669,091,520/499,921,214.10
  6. Step 6: Final answer
    x = 698,167,830.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.