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Finding the Fourth Proportional to 553,176,019.20, 829,806,019.20 and 164,968,550.40

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Solution

The fourth proportional to 553,176,019.20, 829,806,019.20 and 164,968,550.40 is: 247,465,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,176,019.20 : 829,806,019.20 = 164,968,550.40 : x
  2. Step 2: Convert to fraction form
    553,176,019.20/829,806,019.20 = 164,968,550.40/x
  3. Step 3: Cross multiply
    553,176,019.20x = 829,806,019.20 × 164,968,550.40
  4. Step 4: Simplify right side
    553,176,019.20x = 136,891,896,100,618,576
  5. Step 5: Solve for x
    x = 136,891,896,100,618,576/553,176,019.20
  6. Step 6: Final answer
    x = 247,465,348.01

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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.