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Finding the Fourth Proportional to 600,088,710.60, 900,133,065.90 and 255,053,593.80

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Solution

The fourth proportional to 600,088,710.60, 900,133,065.90 and 255,053,593.80 is: 382,580,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,088,710.60 : 900,133,065.90 = 255,053,593.80 : x
  2. Step 2: Convert to fraction form
    600,088,710.60/900,133,065.90 = 255,053,593.80/x
  3. Step 3: Cross multiply
    600,088,710.60x = 900,133,065.90 × 255,053,593.80
  4. Step 4: Simplify right side
    600,088,710.60x = 229,582,173,356,007,232
  5. Step 5: Solve for x
    x = 229,582,173,356,007,232/600,088,710.60
  6. Step 6: Final answer
    x = 382,580,390.70

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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.