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Finding the Fourth Proportional to 402,885,809.80, 604,328,714.70 and 280,441,803.40

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Solution

The fourth proportional to 402,885,809.80, 604,328,714.70 and 280,441,803.40 is: 420,662,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,885,809.80 : 604,328,714.70 = 280,441,803.40 : x
  2. Step 2: Convert to fraction form
    402,885,809.80/604,328,714.70 = 280,441,803.40/x
  3. Step 3: Cross multiply
    402,885,809.80x = 604,328,714.70 × 280,441,803.40
  4. Step 4: Simplify right side
    402,885,809.80x = 169,479,034,596,872,096
  5. Step 5: Solve for x
    x = 169,479,034,596,872,096/402,885,809.80
  6. Step 6: Final answer
    x = 420,662,705.10

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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.