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Finding the Fourth Proportional to 310,315,060,090.20, 465,472,590,135.24 and 310,315,060,090.20

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Solution

The fourth proportional to 310,315,060,090.20, 465,472,590,135.24 and 310,315,060,090.20 is: 465,472,590,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,090.20 : 465,472,590,135.24 = 310,315,060,090.20 : x
  2. Step 2: Convert to fraction form
    310,315,060,090.20/465,472,590,135.24 = 310,315,060,090.20/x
  3. Step 3: Cross multiply
    310,315,060,090.20x = 465,472,590,135.24 × 310,315,060,090.20
  4. Step 4: Simplify right side
    310,315,060,090.20x = 144,443,154,778,158,039,826,432
  5. Step 5: Solve for x
    x = 144,443,154,778,158,039,826,432/310,315,060,090.20
  6. Step 6: Final answer
    x = 465,472,590,135.24

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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.