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Finding the Fourth Proportional to 100,210,006.40, 150,329,006.40 and 42,701,820.80

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Solution

The fourth proportional to 100,210,006.40, 150,329,006.40 and 42,701,820.80 is: 64,058,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210,006.40 : 150,329,006.40 = 42,701,820.80 : x
  2. Step 2: Convert to fraction form
    100,210,006.40/150,329,006.40 = 42,701,820.80/x
  3. Step 3: Cross multiply
    100,210,006.40x = 150,329,006.40 × 42,701,820.80
  4. Step 4: Simplify right side
    100,210,006.40x = 6,419,322,292,334,853
  5. Step 5: Solve for x
    x = 6,419,322,292,334,853/100,210,006.40
  6. Step 6: Final answer
    x = 64,058,695.56

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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.