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Finding the Fourth Proportional to 1,202,141,134,500.80, 1,803,211,701,751 and 1,202,141,134,500.80

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Solution

The fourth proportional to 1,202,141,134,500.80, 1,803,211,701,751 and 1,202,141,134,500.80 is: 1,803,211,701,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,141,134,500.80 : 1,803,211,701,751 = 1,202,141,134,500.80 : x
  2. Step 2: Convert to fraction form
    1,202,141,134,500.80/1,803,211,701,751 = 1,202,141,134,500.80/x
  3. Step 3: Cross multiply
    1,202,141,134,500.80x = 1,803,211,701,751 × 1,202,141,134,500.80
  4. Step 4: Simplify right side
    1,202,141,134,500.80x = 2,167,714,960,888,065,528,168,448
  5. Step 5: Solve for x
    x = 2,167,714,960,888,065,528,168,448/1,202,141,134,500.80
  6. Step 6: Final answer
    x = 1,803,211,701,751

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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.