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Finding the Fourth Proportional to 599,140,350.80, 897,198,871.80 and 478,207,998.80

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Solution

The fourth proportional to 599,140,350.80, 897,198,871.80 and 478,207,998.80 is: 716,105,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,140,350.80 : 897,198,871.80 = 478,207,998.80 : x
  2. Step 2: Convert to fraction form
    599,140,350.80/897,198,871.80 = 478,207,998.80/x
  3. Step 3: Cross multiply
    599,140,350.80x = 897,198,871.80 × 478,207,998.80
  4. Step 4: Simplify right side
    599,140,350.80x = 429,047,677,009,095,744
  5. Step 5: Solve for x
    x = 429,047,677,009,095,744/599,140,350.80
  6. Step 6: Final answer
    x = 716,105,460.83

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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.