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Finding the Fourth Proportional to 310,315,060,097.70, 465,472,590,146.49 and 310,315,060,097.70

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Solution

The fourth proportional to 310,315,060,097.70, 465,472,590,146.49 and 310,315,060,097.70 is: 465,472,590,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315,060,097.70 : 465,472,590,146.49 = 310,315,060,097.70 : x
  2. Step 2: Convert to fraction form
    310,315,060,097.70/465,472,590,146.49 = 310,315,060,097.70/x
  3. Step 3: Cross multiply
    310,315,060,097.70x = 465,472,590,146.49 × 310,315,060,097.70
  4. Step 4: Simplify right side
    310,315,060,097.70x = 144,443,154,785,140,129,923,072
  5. Step 5: Solve for x
    x = 144,443,154,785,140,129,923,072/310,315,060,097.70
  6. Step 6: Final answer
    x = 465,472,590,146.49

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Double scale
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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.