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Finding the Fourth Proportional to 565,822,462.42, 848,733,889.92 and 254,566,566.64

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Solution

The fourth proportional to 565,822,462.42, 848,733,889.92 and 254,566,566.64 is: 381,849,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,822,462.42 : 848,733,889.92 = 254,566,566.64 : x
  2. Step 2: Convert to fraction form
    565,822,462.42/848,733,889.92 = 254,566,566.64/x
  3. Step 3: Cross multiply
    565,822,462.42x = 848,733,889.92 × 254,566,566.64
  4. Step 4: Simplify right side
    565,822,462.42x = 216,059,272,347,946,080
  5. Step 5: Solve for x
    x = 216,059,272,347,946,080/565,822,462.42
  6. Step 6: Final answer
    x = 381,849,938.27

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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.