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Finding the Fourth Proportional to 477,706,699.68, 659,214,041.02 and 266,024,449.50

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Solution

The fourth proportional to 477,706,699.68, 659,214,041.02 and 266,024,449.50 is: 367,101,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,706,699.68 : 659,214,041.02 = 266,024,449.50 : x
  2. Step 2: Convert to fraction form
    477,706,699.68/659,214,041.02 = 266,024,449.50/x
  3. Step 3: Cross multiply
    477,706,699.68x = 659,214,041.02 × 266,024,449.50
  4. Step 4: Simplify right side
    477,706,699.68x = 175,367,052,365,015,904
  5. Step 5: Solve for x
    x = 175,367,052,365,015,904/477,706,699.68
  6. Step 6: Final answer
    x = 367,101,931.96

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Why These Related Problems?

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