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Finding the Fourth Proportional to 827,453,637,065.67, 1,241,180,455,598.50 and 827,453,637,065.67

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Solution

The fourth proportional to 827,453,637,065.67, 1,241,180,455,598.50 and 827,453,637,065.67 is: 1,241,180,455,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,453,637,065.67 : 1,241,180,455,598.50 = 827,453,637,065.67 : x
  2. Step 2: Convert to fraction form
    827,453,637,065.67/1,241,180,455,598.50 = 827,453,637,065.67/x
  3. Step 3: Cross multiply
    827,453,637,065.67x = 1,241,180,455,598.50 × 827,453,637,065.67
  4. Step 4: Simplify right side
    827,453,637,065.67x = 1,027,019,282,239,804,214,870,016
  5. Step 5: Solve for x
    x = 1,027,019,282,239,804,214,870,016/827,453,637,065.67
  6. Step 6: Final answer
    x = 1,241,180,455,598.50

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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.