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Finding the Fourth Proportional to 358,896,004.20, 538,344,006.30 and 358,896,004.20

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Solution

The fourth proportional to 358,896,004.20, 538,344,006.30 and 358,896,004.20 is: 538,344,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,896,004.20 : 538,344,006.30 = 358,896,004.20 : x
  2. Step 2: Convert to fraction form
    358,896,004.20/538,344,006.30 = 358,896,004.20/x
  3. Step 3: Cross multiply
    358,896,004.20x = 538,344,006.30 × 358,896,004.20
  4. Step 4: Simplify right side
    358,896,004.20x = 193,209,512,746,089,600
  5. Step 5: Solve for x
    x = 193,209,512,746,089,600/358,896,004.20
  6. Step 6: Final answer
    x = 538,344,006.30

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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.