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Finding the Fourth Proportional to 288,685,809.60, 433,028,714.40 and 286,134,892.80

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Solution

The fourth proportional to 288,685,809.60, 433,028,714.40 and 286,134,892.80 is: 429,202,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685,809.60 : 433,028,714.40 = 286,134,892.80 : x
  2. Step 2: Convert to fraction form
    288,685,809.60/433,028,714.40 = 286,134,892.80/x
  3. Step 3: Cross multiply
    288,685,809.60x = 433,028,714.40 × 286,134,892.80
  4. Step 4: Simplify right side
    288,685,809.60x = 123,904,624,774,165,808
  5. Step 5: Solve for x
    x = 123,904,624,774,165,808/288,685,809.60
  6. Step 6: Final answer
    x = 429,202,339.20

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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.