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Finding the Fourth Proportional to 391,208,109.40, 585,536,705.70 and 391,208,109.40

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Solution

The fourth proportional to 391,208,109.40, 585,536,705.70 and 391,208,109.40 is: 585,536,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,208,109.40 : 585,536,705.70 = 391,208,109.40 : x
  2. Step 2: Convert to fraction form
    391,208,109.40/585,536,705.70 = 391,208,109.40/x
  3. Step 3: Cross multiply
    391,208,109.40x = 585,536,705.70 × 391,208,109.40
  4. Step 4: Simplify right side
    391,208,109.40x = 229,066,707,621,201,216
  5. Step 5: Solve for x
    x = 229,066,707,621,201,216/391,208,109.40
  6. Step 6: Final answer
    x = 585,536,705.70

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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.