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Finding the Fourth Proportional to 16,367,462,807.60, 24,551,194,211.40 and 16,367,462,807.60

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Solution

The fourth proportional to 16,367,462,807.60, 24,551,194,211.40 and 16,367,462,807.60 is: 24,551,194,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367,462,807.60 : 24,551,194,211.40 = 16,367,462,807.60 : x
  2. Step 2: Convert to fraction form
    16,367,462,807.60/24,551,194,211.40 = 16,367,462,807.60/x
  3. Step 3: Cross multiply
    16,367,462,807.60x = 24,551,194,211.40 × 16,367,462,807.60
  4. Step 4: Simplify right side
    16,367,462,807.60x = 401,840,758,137,253,920,768
  5. Step 5: Solve for x
    x = 401,840,758,137,253,920,768/16,367,462,807.60
  6. Step 6: Final answer
    x = 24,551,194,211.40

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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.