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Finding the Fourth Proportional to 342,562,098, 472,736,214.72 and 185,929,262.28

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Solution

The fourth proportional to 342,562,098, 472,736,214.72 and 185,929,262.28 is: 256,582,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,562,098 : 472,736,214.72 = 185,929,262.28 : x
  2. Step 2: Convert to fraction form
    342,562,098/472,736,214.72 = 185,929,262.28/x
  3. Step 3: Cross multiply
    342,562,098x = 472,736,214.72 × 185,929,262.28
  4. Step 4: Simplify right side
    342,562,098x = 87,895,495,655,929,280
  5. Step 5: Solve for x
    x = 87,895,495,655,929,280/342,562,098
  6. Step 6: Final answer
    x = 256,582,663.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.