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Finding the Fourth Proportional to 940,124,117.80, 1,410,186,176.70 and 940,124,117.80

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Solution

The fourth proportional to 940,124,117.80, 1,410,186,176.70 and 940,124,117.80 is: 1,410,186,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,124,117.80 : 1,410,186,176.70 = 940,124,117.80 : x
  2. Step 2: Convert to fraction form
    940,124,117.80/1,410,186,176.70 = 940,124,117.80/x
  3. Step 3: Cross multiply
    940,124,117.80x = 1,410,186,176.70 × 940,124,117.80
  4. Step 4: Simplify right side
    940,124,117.80x = 1,325,750,035,303,842,304
  5. Step 5: Solve for x
    x = 1,325,750,035,303,842,304/940,124,117.80
  6. Step 6: Final answer
    x = 1,410,186,176.70

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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.