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Finding the Fourth Proportional to 242,706,266.80, 364,059,400.20 and 161,076,929.20

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Solution

The fourth proportional to 242,706,266.80, 364,059,400.20 and 161,076,929.20 is: 241,615,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,706,266.80 : 364,059,400.20 = 161,076,929.20 : x
  2. Step 2: Convert to fraction form
    242,706,266.80/364,059,400.20 = 161,076,929.20/x
  3. Step 3: Cross multiply
    242,706,266.80x = 364,059,400.20 × 161,076,929.20
  4. Step 4: Simplify right side
    242,706,266.80x = 58,641,570,230,609,856
  5. Step 5: Solve for x
    x = 58,641,570,230,609,856/242,706,266.80
  6. Step 6: Final answer
    x = 241,615,393.80

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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.