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Finding the Fourth Proportional to 310,315,060,229.55, 465,472,590,344.34 and 310,315,060,229.55

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Solution

The fourth proportional to 310,315,060,229.55, 465,472,590,344.34 and 310,315,060,229.55 is: 465,472,590,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,229.55 : 465,472,590,344.34 = 310,315,060,229.55 : x
  2. Step 2: Convert to fraction form
    310,315,060,229.55/465,472,590,344.34 = 310,315,060,229.55/x
  3. Step 3: Cross multiply
    310,315,060,229.55x = 465,472,590,344.34 × 310,315,060,229.55
  4. Step 4: Simplify right side
    310,315,060,229.55x = 144,443,154,907,908,515,299,328
  5. Step 5: Solve for x
    x = 144,443,154,907,908,515,299,328/310,315,060,229.55
  6. Step 6: Final answer
    x = 465,472,590,344.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.