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Finding the Fourth Proportional to 668,819,377,427.60, 1,003,229,066,141.40 and 668,819,377,427.60

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Solution

The fourth proportional to 668,819,377,427.60, 1,003,229,066,141.40 and 668,819,377,427.60 is: 1,003,229,066,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,819,377,427.60 : 1,003,229,066,141.40 = 668,819,377,427.60 : x
  2. Step 2: Convert to fraction form
    668,819,377,427.60/1,003,229,066,141.40 = 668,819,377,427.60/x
  3. Step 3: Cross multiply
    668,819,377,427.60x = 1,003,229,066,141.40 × 668,819,377,427.60
  4. Step 4: Simplify right side
    668,819,377,427.60x = 670,979,039,433,963,690,000,384
  5. Step 5: Solve for x
    x = 670,979,039,433,963,690,000,384/668,819,377,427.60
  6. Step 6: Final answer
    x = 1,003,229,066,141.40

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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.