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Finding the Fourth Proportional to 70,544,822,043.80, 105,817,233,065.70 and 70,544,822,043.80

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Solution

The fourth proportional to 70,544,822,043.80, 105,817,233,065.70 and 70,544,822,043.80 is: 105,817,233,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,544,822,043.80 : 105,817,233,065.70 = 70,544,822,043.80 : x
  2. Step 2: Convert to fraction form
    70,544,822,043.80/105,817,233,065.70 = 70,544,822,043.80/x
  3. Step 3: Cross multiply
    70,544,822,043.80x = 105,817,233,065.70 × 70,544,822,043.80
  4. Step 4: Simplify right side
    70,544,822,043.80x = 7,464,857,875,787,115,659,264
  5. Step 5: Solve for x
    x = 7,464,857,875,787,115,659,264/70,544,822,043.80
  6. Step 6: Final answer
    x = 105,817,233,065.70

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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.