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Finding the Fourth Proportional to 218,009,167,297.65, 327,013,750,946.47 and 218,009,167,297.65

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Solution

The fourth proportional to 218,009,167,297.65, 327,013,750,946.47 and 218,009,167,297.65 is: 327,013,750,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,009,167,297.65 : 327,013,750,946.47 = 218,009,167,297.65 : x
  2. Step 2: Convert to fraction form
    218,009,167,297.65/327,013,750,946.47 = 218,009,167,297.65/x
  3. Step 3: Cross multiply
    218,009,167,297.65x = 327,013,750,946.47 × 218,009,167,297.65
  4. Step 4: Simplify right side
    218,009,167,297.65x = 71,291,995,538,721,018,478,592
  5. Step 5: Solve for x
    x = 71,291,995,538,721,018,478,592/218,009,167,297.65
  6. Step 6: Final answer
    x = 327,013,750,946.47

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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.