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Finding the Fourth Proportional to 896,974,513.70, 1,345,461,770.55 and 896,974,513.70

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Solution

The fourth proportional to 896,974,513.70, 1,345,461,770.55 and 896,974,513.70 is: 1,345,461,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,974,513.70 : 1,345,461,770.55 = 896,974,513.70 : x
  2. Step 2: Convert to fraction form
    896,974,513.70/1,345,461,770.55 = 896,974,513.70/x
  3. Step 3: Cross multiply
    896,974,513.70x = 1,345,461,770.55 × 896,974,513.70
  4. Step 4: Simplify right side
    896,974,513.70x = 1,206,844,917,341,027,328
  5. Step 5: Solve for x
    x = 1,206,844,917,341,027,328/896,974,513.70
  6. Step 6: Final answer
    x = 1,345,461,770.55

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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.