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Finding the Fourth Proportional to 516,461,570.70, 774,692,356.05 and 516,461,570.70

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Solution

The fourth proportional to 516,461,570.70, 774,692,356.05 and 516,461,570.70 is: 774,692,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,461,570.70 : 774,692,356.05 = 516,461,570.70 : x
  2. Step 2: Convert to fraction form
    516,461,570.70/774,692,356.05 = 516,461,570.70/x
  3. Step 3: Cross multiply
    516,461,570.70x = 774,692,356.05 × 516,461,570.70
  4. Step 4: Simplify right side
    516,461,570.70x = 400,098,831,014,866,624
  5. Step 5: Solve for x
    x = 400,098,831,014,866,624/516,461,570.70
  6. Step 6: Final answer
    x = 774,692,356.05

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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.