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Finding the Fourth Proportional to 702,968,254.85, 1,054,452,382.28 and 702,968,254.85

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Solution

The fourth proportional to 702,968,254.85, 1,054,452,382.28 and 702,968,254.85 is: 1,054,452,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,968,254.85 : 1,054,452,382.28 = 702,968,254.85 : x
  2. Step 2: Convert to fraction form
    702,968,254.85/1,054,452,382.28 = 702,968,254.85/x
  3. Step 3: Cross multiply
    702,968,254.85x = 1,054,452,382.28 × 702,968,254.85
  4. Step 4: Simplify right side
    702,968,254.85x = 741,246,550,993,796,608
  5. Step 5: Solve for x
    x = 741,246,550,993,796,608/702,968,254.85
  6. Step 6: Final answer
    x = 1,054,452,382.28

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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.