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Finding the Fourth Proportional to 605,097,497.80, 907,646,246.70 and 519,004,055.80

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Solution

The fourth proportional to 605,097,497.80, 907,646,246.70 and 519,004,055.80 is: 778,506,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,097,497.80 : 907,646,246.70 = 519,004,055.80 : x
  2. Step 2: Convert to fraction form
    605,097,497.80/907,646,246.70 = 519,004,055.80/x
  3. Step 3: Cross multiply
    605,097,497.80x = 907,646,246.70 × 519,004,055.80
  4. Step 4: Simplify right side
    605,097,497.80x = 471,072,083,268,947,392
  5. Step 5: Solve for x
    x = 471,072,083,268,947,392/605,097,497.80
  6. Step 6: Final answer
    x = 778,506,083.70

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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.