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Finding the Fourth Proportional to 364,126,752,002.40, 545,455,463,965.20 and 364,126,752,002.40

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Solution

The fourth proportional to 364,126,752,002.40, 545,455,463,965.20 and 364,126,752,002.40 is: 545,455,463,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,126,752,002.40 : 545,455,463,965.20 = 364,126,752,002.40 : x
  2. Step 2: Convert to fraction form
    364,126,752,002.40/545,455,463,965.20 = 364,126,752,002.40/x
  3. Step 3: Cross multiply
    364,126,752,002.40x = 545,455,463,965.20 × 364,126,752,002.40
  4. Step 4: Simplify right side
    364,126,752,002.40x = 198,614,926,455,610,439,368,704
  5. Step 5: Solve for x
    x = 198,614,926,455,610,439,368,704/364,126,752,002.40
  6. Step 6: Final answer
    x = 545,455,463,965.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.