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Finding the Fourth Proportional to 402,020,011.90, 601,754,559.45 and 402,020,011.90

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Solution

The fourth proportional to 402,020,011.90, 601,754,559.45 and 402,020,011.90 is: 601,754,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,020,011.90 : 601,754,559.45 = 402,020,011.90 : x
  2. Step 2: Convert to fraction form
    402,020,011.90/601,754,559.45 = 402,020,011.90/x
  3. Step 3: Cross multiply
    402,020,011.90x = 601,754,559.45 × 402,020,011.90
  4. Step 4: Simplify right side
    402,020,011.90x = 241,917,375,150,968,256
  5. Step 5: Solve for x
    x = 241,917,375,150,968,256/402,020,011.90
  6. Step 6: Final answer
    x = 601,754,559.45

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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.