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Finding the Fourth Proportional to 43,282,930,278.15, 64,924,395,417.23 and 43,282,930,278.15

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Solution

The fourth proportional to 43,282,930,278.15, 64,924,395,417.23 and 43,282,930,278.15 is: 64,924,395,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,282,930,278.15 : 64,924,395,417.23 = 43,282,930,278.15 : x
  2. Step 2: Convert to fraction form
    43,282,930,278.15/64,924,395,417.23 = 43,282,930,278.15/x
  3. Step 3: Cross multiply
    43,282,930,278.15x = 64,924,395,417.23 × 43,282,930,278.15
  4. Step 4: Simplify right side
    43,282,930,278.15x = 2,810,118,080,195,007,610,880
  5. Step 5: Solve for x
    x = 2,810,118,080,195,007,610,880/43,282,930,278.15
  6. Step 6: Final answer
    x = 64,924,395,417.23

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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.