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Finding the Fourth Proportional to 525,312,019.20, 736,646,150.40 and 525,312,019.20

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Solution

The fourth proportional to 525,312,019.20, 736,646,150.40 and 525,312,019.20 is: 736,646,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,312,019.20 : 736,646,150.40 = 525,312,019.20 : x
  2. Step 2: Convert to fraction form
    525,312,019.20/736,646,150.40 = 525,312,019.20/x
  3. Step 3: Cross multiply
    525,312,019.20x = 736,646,150.40 × 525,312,019.20
  4. Step 4: Simplify right side
    525,312,019.20x = 386,969,076,702,530,880
  5. Step 5: Solve for x
    x = 386,969,076,702,530,880/525,312,019.20
  6. Step 6: Final answer
    x = 736,646,150.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.