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Finding the Fourth Proportional to 601,402,079.80, 902,103,119.70 and 458,074,847.80

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Solution

The fourth proportional to 601,402,079.80, 902,103,119.70 and 458,074,847.80 is: 687,112,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,402,079.80 : 902,103,119.70 = 458,074,847.80 : x
  2. Step 2: Convert to fraction form
    601,402,079.80/902,103,119.70 = 458,074,847.80/x
  3. Step 3: Cross multiply
    601,402,079.80x = 902,103,119.70 × 458,074,847.80
  4. Step 4: Simplify right side
    601,402,079.80x = 413,230,749,256,482,688
  5. Step 5: Solve for x
    x = 413,230,749,256,482,688/601,402,079.80
  6. Step 6: Final answer
    x = 687,112,271.70

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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.