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Finding the Fourth Proportional to 540,702,004.40, 811,053,006.60 and 540,702,004.40

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Solution

The fourth proportional to 540,702,004.40, 811,053,006.60 and 540,702,004.40 is: 811,053,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,702,004.40 : 811,053,006.60 = 540,702,004.40 : x
  2. Step 2: Convert to fraction form
    540,702,004.40/811,053,006.60 = 540,702,004.40/x
  3. Step 3: Cross multiply
    540,702,004.40x = 811,053,006.60 × 540,702,004.40
  4. Step 4: Simplify right side
    540,702,004.40x = 438,537,986,343,266,432
  5. Step 5: Solve for x
    x = 438,537,986,343,266,432/540,702,004.40
  6. Step 6: Final answer
    x = 811,053,006.60

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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.