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Finding the Fourth Proportional to 625,696,415.34, 864,177,681.26 and 412,070,019.56

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Solution

The fourth proportional to 625,696,415.34, 864,177,681.26 and 412,070,019.56 is: 569,128,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,696,415.34 : 864,177,681.26 = 412,070,019.56 : x
  2. Step 2: Convert to fraction form
    625,696,415.34/864,177,681.26 = 412,070,019.56/x
  3. Step 3: Cross multiply
    625,696,415.34x = 864,177,681.26 × 412,070,019.56
  4. Step 4: Simplify right side
    625,696,415.34x = 356,101,714,013,742,400
  5. Step 5: Solve for x
    x = 356,101,714,013,742,400/625,696,415.34
  6. Step 6: Final answer
    x = 569,128,582.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.