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Finding the Fourth Proportional to 601,851,029.10, 902,776,543.65 and 601,851,029.10

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Solution

The fourth proportional to 601,851,029.10, 902,776,543.65 and 601,851,029.10 is: 902,776,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,851,029.10 : 902,776,543.65 = 601,851,029.10 : x
  2. Step 2: Convert to fraction form
    601,851,029.10/902,776,543.65 = 601,851,029.10/x
  3. Step 3: Cross multiply
    601,851,029.10x = 902,776,543.65 × 601,851,029.10
  4. Step 4: Simplify right side
    601,851,029.10x = 543,336,991,843,093,568
  5. Step 5: Solve for x
    x = 543,336,991,843,093,568/601,851,029.10
  6. Step 6: Final answer
    x = 902,776,543.65

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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.