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Finding the Fourth Proportional to 472,407,492.80, 708,611,239.20 and 407,784,267.20

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Solution

The fourth proportional to 472,407,492.80, 708,611,239.20 and 407,784,267.20 is: 611,676,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,407,492.80 : 708,611,239.20 = 407,784,267.20 : x
  2. Step 2: Convert to fraction form
    472,407,492.80/708,611,239.20 = 407,784,267.20/x
  3. Step 3: Cross multiply
    472,407,492.80x = 708,611,239.20 × 407,784,267.20
  4. Step 4: Simplify right side
    472,407,492.80x = 288,960,514,906,855,936
  5. Step 5: Solve for x
    x = 288,960,514,906,855,936/472,407,492.80
  6. Step 6: Final answer
    x = 611,676,400.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.