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Finding the Fourth Proportional to 314,930,690.70, 472,396,036.06 and 314,930,690.70

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Solution

The fourth proportional to 314,930,690.70, 472,396,036.06 and 314,930,690.70 is: 472,396,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,690.70 : 472,396,036.06 = 314,930,690.70 : x
  2. Step 2: Convert to fraction form
    314,930,690.70/472,396,036.06 = 314,930,690.70/x
  3. Step 3: Cross multiply
    314,930,690.70x = 472,396,036.06 × 314,930,690.70
  4. Step 4: Simplify right side
    314,930,690.70x = 148,772,009,920,317,888
  5. Step 5: Solve for x
    x = 148,772,009,920,317,888/314,930,690.70
  6. Step 6: Final answer
    x = 472,396,036.06

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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.