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Finding the Fourth Proportional to 932,445,556.65, 1,397,978,806.64 and 563,898,574.58

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Solution

The fourth proportional to 932,445,556.65, 1,397,978,806.64 and 563,898,574.58 is: 845,430,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,445,556.65 : 1,397,978,806.64 = 563,898,574.58 : x
  2. Step 2: Convert to fraction form
    932,445,556.65/1,397,978,806.64 = 563,898,574.58/x
  3. Step 3: Cross multiply
    932,445,556.65x = 1,397,978,806.64 × 563,898,574.58
  4. Step 4: Simplify right side
    932,445,556.65x = 788,318,256,347,536,128
  5. Step 5: Solve for x
    x = 788,318,256,347,536,128/932,445,556.65
  6. Step 6: Final answer
    x = 845,430,868.03

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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.