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Finding the Fourth Proportional to 402,885,808.80, 604,328,713.20 and 280,441,802.40

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Solution

The fourth proportional to 402,885,808.80, 604,328,713.20 and 280,441,802.40 is: 420,662,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,885,808.80 : 604,328,713.20 = 280,441,802.40 : x
  2. Step 2: Convert to fraction form
    402,885,808.80/604,328,713.20 = 280,441,802.40/x
  3. Step 3: Cross multiply
    402,885,808.80x = 604,328,713.20 × 280,441,802.40
  4. Step 4: Simplify right side
    402,885,808.80x = 169,479,033,571,880,672
  5. Step 5: Solve for x
    x = 169,479,033,571,880,672/402,885,808.80
  6. Step 6: Final answer
    x = 420,662,703.60

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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.