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Finding the Fourth Proportional to 1,644,145,596.10, 2,466,218,394.15 and 1,644,145,596.10

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Solution

The fourth proportional to 1,644,145,596.10, 2,466,218,394.15 and 1,644,145,596.10 is: 2,466,218,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,145,596.10 : 2,466,218,394.15 = 1,644,145,596.10 : x
  2. Step 2: Convert to fraction form
    1,644,145,596.10/2,466,218,394.15 = 1,644,145,596.10/x
  3. Step 3: Cross multiply
    1,644,145,596.10x = 2,466,218,394.15 × 1,644,145,596.10
  4. Step 4: Simplify right side
    1,644,145,596.10x = 4,054,822,111,762,536,448
  5. Step 5: Solve for x
    x = 4,054,822,111,762,536,448/1,644,145,596.10
  6. Step 6: Final answer
    x = 2,466,218,394.15

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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.