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Finding the Fourth Proportional to 600,088,721.60, 900,133,082.40 and 255,053,604.80

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Solution

The fourth proportional to 600,088,721.60, 900,133,082.40 and 255,053,604.80 is: 382,580,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,088,721.60 : 900,133,082.40 = 255,053,604.80 : x
  2. Step 2: Convert to fraction form
    600,088,721.60/900,133,082.40 = 255,053,604.80/x
  3. Step 3: Cross multiply
    600,088,721.60x = 900,133,082.40 × 255,053,604.80
  4. Step 4: Simplify right side
    600,088,721.60x = 229,582,187,465,855,456
  5. Step 5: Solve for x
    x = 229,582,187,465,855,456/600,088,721.60
  6. Step 6: Final answer
    x = 382,580,407.20

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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.