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Finding the Fourth Proportional to 129,410,130,304.80, 193,824,957,812.40 and 129,410,130,304.80

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Solution

The fourth proportional to 129,410,130,304.80, 193,824,957,812.40 and 129,410,130,304.80 is: 193,824,957,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,410,130,304.80 : 193,824,957,812.40 = 129,410,130,304.80 : x
  2. Step 2: Convert to fraction form
    129,410,130,304.80/193,824,957,812.40 = 129,410,130,304.80/x
  3. Step 3: Cross multiply
    129,410,130,304.80x = 193,824,957,812.40 × 129,410,130,304.80
  4. Step 4: Simplify right side
    129,410,130,304.80x = 25,082,913,046,825,044,803,584
  5. Step 5: Solve for x
    x = 25,082,913,046,825,044,803,584/129,410,130,304.80
  6. Step 6: Final answer
    x = 193,824,957,812.40

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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.