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Finding the Fourth Proportional to 101,346,772.70, 152,020,159.05 and 101,346,772.70

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Solution

The fourth proportional to 101,346,772.70, 152,020,159.05 and 101,346,772.70 is: 152,020,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346,772.70 : 152,020,159.05 = 101,346,772.70 : x
  2. Step 2: Convert to fraction form
    101,346,772.70/152,020,159.05 = 101,346,772.70/x
  3. Step 3: Cross multiply
    101,346,772.70x = 152,020,159.05 × 101,346,772.70
  4. Step 4: Simplify right side
    101,346,772.70x = 15,406,752,505,058,200
  5. Step 5: Solve for x
    x = 15,406,752,505,058,200/101,346,772.70
  6. Step 6: Final answer
    x = 152,020,159.05

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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.