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Finding the Fourth Proportional to 472,393,047.65, 707,314,113.06 and 472,393,047.65

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Solution

The fourth proportional to 472,393,047.65, 707,314,113.06 and 472,393,047.65 is: 707,314,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,047.65 : 707,314,113.06 = 472,393,047.65 : x
  2. Step 2: Convert to fraction form
    472,393,047.65/707,314,113.06 = 472,393,047.65/x
  3. Step 3: Cross multiply
    472,393,047.65x = 707,314,113.06 × 472,393,047.65
  4. Step 4: Simplify right side
    472,393,047.65x = 334,130,269,514,270,016
  5. Step 5: Solve for x
    x = 334,130,269,514,270,016/472,393,047.65
  6. Step 6: Final answer
    x = 707,314,113.06

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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.