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Finding the Fourth Proportional to 261,460,295,999.70, 392,190,443,999.55 and 261,460,295,999.70

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Solution

The fourth proportional to 261,460,295,999.70, 392,190,443,999.55 and 261,460,295,999.70 is: 392,190,443,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,460,295,999.70 : 392,190,443,999.55 = 261,460,295,999.70 : x
  2. Step 2: Convert to fraction form
    261,460,295,999.70/392,190,443,999.55 = 261,460,295,999.70/x
  3. Step 3: Cross multiply
    261,460,295,999.70x = 392,190,443,999.55 × 261,460,295,999.70
  4. Step 4: Simplify right side
    261,460,295,999.70x = 102,542,229,576,376,104,517,632
  5. Step 5: Solve for x
    x = 102,542,229,576,376,104,517,632/261,460,295,999.70
  6. Step 6: Final answer
    x = 392,190,443,999.55

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1.5x scale

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.