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Finding the Fourth Proportional to 669,334,608,836.20, 1,004,001,913,254.30 and 669,334,608,836.20

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Solution

The fourth proportional to 669,334,608,836.20, 1,004,001,913,254.30 and 669,334,608,836.20 is: 1,004,001,913,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,334,608,836.20 : 1,004,001,913,254.30 = 669,334,608,836.20 : x
  2. Step 2: Convert to fraction form
    669,334,608,836.20/1,004,001,913,254.30 = 669,334,608,836.20/x
  3. Step 3: Cross multiply
    669,334,608,836.20x = 1,004,001,913,254.30 × 669,334,608,836.20
  4. Step 4: Simplify right side
    669,334,608,836.20x = 672,013,227,878,863,318,548,480
  5. Step 5: Solve for x
    x = 672,013,227,878,863,318,548,480/669,334,608,836.20
  6. Step 6: Final answer
    x = 1,004,001,913,254.30

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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.