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Finding the Fourth Proportional to 314,928,709.20, 472,393,063.80 and 288,144,082.80

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Solution

The fourth proportional to 314,928,709.20, 472,393,063.80 and 288,144,082.80 is: 432,216,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,709.20 : 472,393,063.80 = 288,144,082.80 : x
  2. Step 2: Convert to fraction form
    314,928,709.20/472,393,063.80 = 288,144,082.80/x
  3. Step 3: Cross multiply
    314,928,709.20x = 472,393,063.80 × 288,144,082.80
  4. Step 4: Simplify right side
    314,928,709.20x = 136,117,266,089,732,896
  5. Step 5: Solve for x
    x = 136,117,266,089,732,896/314,928,709.20
  6. Step 6: Final answer
    x = 432,216,124.20

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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.