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Finding the Fourth Proportional to 43,282,930,219.65, 64,924,395,329.48 and 43,282,930,219.65

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Solution

The fourth proportional to 43,282,930,219.65, 64,924,395,329.48 and 43,282,930,219.65 is: 64,924,395,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,282,930,219.65 : 64,924,395,329.48 = 43,282,930,219.65 : x
  2. Step 2: Convert to fraction form
    43,282,930,219.65/64,924,395,329.48 = 43,282,930,219.65/x
  3. Step 3: Cross multiply
    43,282,930,219.65x = 64,924,395,329.48 × 43,282,930,219.65
  4. Step 4: Simplify right side
    43,282,930,219.65x = 2,810,118,072,598,637,051,904
  5. Step 5: Solve for x
    x = 2,810,118,072,598,637,051,904/43,282,930,219.65
  6. Step 6: Final answer
    x = 64,924,395,329.48

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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.