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Finding the Fourth Proportional to 463,670,019.40, 695,505,029.10 and 428,634,473.80

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Solution

The fourth proportional to 463,670,019.40, 695,505,029.10 and 428,634,473.80 is: 642,951,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670,019.40 : 695,505,029.10 = 428,634,473.80 : x
  2. Step 2: Convert to fraction form
    463,670,019.40/695,505,029.10 = 428,634,473.80/x
  3. Step 3: Cross multiply
    463,670,019.40x = 695,505,029.10 × 428,634,473.80
  4. Step 4: Simplify right side
    463,670,019.40x = 298,117,432,173,532,224
  5. Step 5: Solve for x
    x = 298,117,432,173,532,224/463,670,019.40
  6. Step 6: Final answer
    x = 642,951,710.70

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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.