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Finding the Fourth Proportional to 310,315,060,328.76, 465,472,590,493.14 and 310,315,060,328.76

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Solution

The fourth proportional to 310,315,060,328.76, 465,472,590,493.14 and 310,315,060,328.76 is: 465,472,590,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,328.76 : 465,472,590,493.14 = 310,315,060,328.76 : x
  2. Step 2: Convert to fraction form
    310,315,060,328.76/465,472,590,493.14 = 310,315,060,328.76/x
  3. Step 3: Cross multiply
    310,315,060,328.76x = 465,472,590,493.14 × 310,315,060,328.76
  4. Step 4: Simplify right side
    310,315,060,328.76x = 144,443,155,000,262,945,406,976
  5. Step 5: Solve for x
    x = 144,443,155,000,262,945,406,976/310,315,060,328.76
  6. Step 6: Final answer
    x = 465,472,590,493.14

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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.