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Finding the Fourth Proportional to 314,421,809.80, 471,632,714.70 and 314,421,809.80

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Solution

The fourth proportional to 314,421,809.80, 471,632,714.70 and 314,421,809.80 is: 471,632,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,421,809.80 : 471,632,714.70 = 314,421,809.80 : x
  2. Step 2: Convert to fraction form
    314,421,809.80/471,632,714.70 = 314,421,809.80/x
  3. Step 3: Cross multiply
    314,421,809.80x = 471,632,714.70 × 314,421,809.80
  4. Step 4: Simplify right side
    314,421,809.80x = 148,291,611,716,861,056
  5. Step 5: Solve for x
    x = 148,291,611,716,861,056/314,421,809.80
  6. Step 6: Final answer
    x = 471,632,714.70

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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.