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Finding the Fourth Proportional to 808,509,932.20, 1,210,497,416.70 and 785,835,116.20

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Solution

The fourth proportional to 808,509,932.20, 1,210,497,416.70 and 785,835,116.20 is: 1,176,548,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,509,932.20 : 1,210,497,416.70 = 785,835,116.20 : x
  2. Step 2: Convert to fraction form
    808,509,932.20/1,210,497,416.70 = 785,835,116.20/x
  3. Step 3: Cross multiply
    808,509,932.20x = 1,210,497,416.70 × 785,835,116.20
  4. Step 4: Simplify right side
    808,509,932.20x = 951,251,378,112,244,352
  5. Step 5: Solve for x
    x = 951,251,378,112,244,352/808,509,932.20
  6. Step 6: Final answer
    x = 1,176,548,784.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.