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Finding the Fourth Proportional to 602,678,613.60, 904,020,967.60 and 188,120,684

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Solution

The fourth proportional to 602,678,613.60, 904,020,967.60 and 188,120,684 is: 282,181,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,678,613.60 : 904,020,967.60 = 188,120,684 : x
  2. Step 2: Convert to fraction form
    602,678,613.60/904,020,967.60 = 188,120,684/x
  3. Step 3: Cross multiply
    602,678,613.60x = 904,020,967.60 × 188,120,684
  4. Step 4: Simplify right side
    602,678,613.60x = 170,065,042,775,253,856
  5. Step 5: Solve for x
    x = 170,065,042,775,253,856/602,678,613.60
  6. Step 6: Final answer
    x = 282,181,977.16

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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.