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Finding the Fourth Proportional to 478,498,763.61, 660,451,145.45 and 311,650,784.01

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Solution

The fourth proportional to 478,498,763.61, 660,451,145.45 and 311,650,784.01 is: 430,158,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,498,763.61 : 660,451,145.45 = 311,650,784.01 : x
  2. Step 2: Convert to fraction form
    478,498,763.61/660,451,145.45 = 311,650,784.01/x
  3. Step 3: Cross multiply
    478,498,763.61x = 660,451,145.45 × 311,650,784.01
  4. Step 4: Simplify right side
    478,498,763.61x = 205,830,117,278,236,800
  5. Step 5: Solve for x
    x = 205,830,117,278,236,800/478,498,763.61
  6. Step 6: Final answer
    x = 430,158,096.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.