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Finding the Fourth Proportional to 413,514,847.80, 620,272,271.70 and 260,459,839.80

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Solution

The fourth proportional to 413,514,847.80, 620,272,271.70 and 260,459,839.80 is: 390,689,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514,847.80 : 620,272,271.70 = 260,459,839.80 : x
  2. Step 2: Convert to fraction form
    413,514,847.80/620,272,271.70 = 260,459,839.80/x
  3. Step 3: Cross multiply
    413,514,847.80x = 620,272,271.70 × 260,459,839.80
  4. Step 4: Simplify right side
    413,514,847.80x = 161,556,016,519,364,096
  5. Step 5: Solve for x
    x = 161,556,016,519,364,096/413,514,847.80
  6. Step 6: Final answer
    x = 390,689,759.70

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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.