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Finding the Fourth Proportional to 475,092,080.40, 666,035,905.20 and 475,092,080.40

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Solution

The fourth proportional to 475,092,080.40, 666,035,905.20 and 475,092,080.40 is: 666,035,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,092,080.40 : 666,035,905.20 = 475,092,080.40 : x
  2. Step 2: Convert to fraction form
    475,092,080.40/666,035,905.20 = 475,092,080.40/x
  3. Step 3: Cross multiply
    475,092,080.40x = 666,035,905.20 × 475,092,080.40
  4. Step 4: Simplify right side
    475,092,080.40x = 316,428,383,822,565,184
  5. Step 5: Solve for x
    x = 316,428,383,822,565,184/475,092,080.40
  6. Step 6: Final answer
    x = 666,035,905.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.