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Finding the Fourth Proportional to 286,489,989.86, 429,734,448.77 and 89,768,463.20

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Solution

The fourth proportional to 286,489,989.86, 429,734,448.77 and 89,768,463.20 is: 134,652,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,489,989.86 : 429,734,448.77 = 89,768,463.20 : x
  2. Step 2: Convert to fraction form
    286,489,989.86/429,734,448.77 = 89,768,463.20/x
  3. Step 3: Cross multiply
    286,489,989.86x = 429,734,448.77 × 89,768,463.20
  4. Step 4: Simplify right side
    286,489,989.86x = 38,576,601,050,182,032
  5. Step 5: Solve for x
    x = 38,576,601,050,182,032/286,489,989.86
  6. Step 6: Final answer
    x = 134,652,526.84

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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.