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Finding the Fourth Proportional to 43,282,930,276.65, 64,924,395,414.98 and 43,282,930,276.65

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Solution

The fourth proportional to 43,282,930,276.65, 64,924,395,414.98 and 43,282,930,276.65 is: 64,924,395,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,282,930,276.65 : 64,924,395,414.98 = 43,282,930,276.65 : x
  2. Step 2: Convert to fraction form
    43,282,930,276.65/64,924,395,414.98 = 43,282,930,276.65/x
  3. Step 3: Cross multiply
    43,282,930,276.65x = 64,924,395,414.98 × 43,282,930,276.65
  4. Step 4: Simplify right side
    43,282,930,276.65x = 2,810,118,080,000,018,087,936
  5. Step 5: Solve for x
    x = 2,810,118,080,000,018,087,936/43,282,930,276.65
  6. Step 6: Final answer
    x = 64,924,395,414.98

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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.