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Finding the Fourth Proportional to 3,098,771,348.70, 4,648,157,023.05 and 3,098,771,348.70

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Solution

The fourth proportional to 3,098,771,348.70, 4,648,157,023.05 and 3,098,771,348.70 is: 4,648,157,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,771,348.70 : 4,648,157,023.05 = 3,098,771,348.70 : x
  2. Step 2: Convert to fraction form
    3,098,771,348.70/4,648,157,023.05 = 3,098,771,348.70/x
  3. Step 3: Cross multiply
    3,098,771,348.70x = 4,648,157,023.05 × 3,098,771,348.70
  4. Step 4: Simplify right side
    3,098,771,348.70x = 14,403,575,807,286,024,192
  5. Step 5: Solve for x
    x = 14,403,575,807,286,024,192/3,098,771,348.70
  6. Step 6: Final answer
    x = 4,648,157,023.05

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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.