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Finding the Fourth Proportional to 1,320,614,834.74, 1,822,423,954.62 and 725,886,605.12

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Solution

The fourth proportional to 1,320,614,834.74, 1,822,423,954.62 and 725,886,605.12 is: 1,001,710,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320,614,834.74 : 1,822,423,954.62 = 725,886,605.12 : x
  2. Step 2: Convert to fraction form
    1,320,614,834.74/1,822,423,954.62 = 725,886,605.12/x
  3. Step 3: Cross multiply
    1,320,614,834.74x = 1,822,423,954.62 × 725,886,605.12
  4. Step 4: Simplify right side
    1,320,614,834.74x = 1,322,873,137,499,364,608
  5. Step 5: Solve for x
    x = 1,322,873,137,499,364,608/1,320,614,834.74
  6. Step 6: Final answer
    x = 1,001,710,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.