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Finding the Fourth Proportional to 315,054,901.80, 472,582,352.70 and 315,054,901.80

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Solution

The fourth proportional to 315,054,901.80, 472,582,352.70 and 315,054,901.80 is: 472,582,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,054,901.80 : 472,582,352.70 = 315,054,901.80 : x
  2. Step 2: Convert to fraction form
    315,054,901.80/472,582,352.70 = 315,054,901.80/x
  3. Step 3: Cross multiply
    315,054,901.80x = 472,582,352.70 × 315,054,901.80
  4. Step 4: Simplify right side
    315,054,901.80x = 148,889,386,722,311,456
  5. Step 5: Solve for x
    x = 148,889,386,722,311,456/315,054,901.80
  6. Step 6: Final answer
    x = 472,582,352.70

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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.