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Finding the Fourth Proportional to 310,315,060,212.07, 465,472,590,318.10 and 310,315,060,212.07

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Solution

The fourth proportional to 310,315,060,212.07, 465,472,590,318.10 and 310,315,060,212.07 is: 465,472,590,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,212.07 : 465,472,590,318.10 = 310,315,060,212.07 : x
  2. Step 2: Convert to fraction form
    310,315,060,212.07/465,472,590,318.10 = 310,315,060,212.07/x
  3. Step 3: Cross multiply
    310,315,060,212.07x = 465,472,590,318.10 × 310,315,060,212.07
  4. Step 4: Simplify right side
    310,315,060,212.07x = 144,443,154,891,629,381,287,936
  5. Step 5: Solve for x
    x = 144,443,154,891,629,381,287,936/310,315,060,212.07
  6. Step 6: Final answer
    x = 465,472,590,318.10

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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.