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Finding the Fourth Proportional to 314,836,366.80, 472,453,615.80 and 185,443,726.80

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Solution

The fourth proportional to 314,836,366.80, 472,453,615.80 and 185,443,726.80 is: 278,282,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,836,366.80 : 472,453,615.80 = 185,443,726.80 : x
  2. Step 2: Convert to fraction form
    314,836,366.80/472,453,615.80 = 185,443,726.80/x
  3. Step 3: Cross multiply
    314,836,366.80x = 472,453,615.80 × 185,443,726.80
  4. Step 4: Simplify right side
    314,836,366.80x = 87,613,559,254,087,376
  5. Step 5: Solve for x
    x = 87,613,559,254,087,376/314,836,366.80
  6. Step 6: Final answer
    x = 278,282,843.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.