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Finding the Fourth Proportional to 755,227,907.40, 1,132,841,861.10 and 755,227,907.40

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Solution

The fourth proportional to 755,227,907.40, 1,132,841,861.10 and 755,227,907.40 is: 1,132,841,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,227,907.40 : 1,132,841,861.10 = 755,227,907.40 : x
  2. Step 2: Convert to fraction form
    755,227,907.40/1,132,841,861.10 = 755,227,907.40/x
  3. Step 3: Cross multiply
    755,227,907.40x = 1,132,841,861.10 × 755,227,907.40
  4. Step 4: Simplify right side
    755,227,907.40x = 855,553,788,173,674,368
  5. Step 5: Solve for x
    x = 855,553,788,173,674,368/755,227,907.40
  6. Step 6: Final answer
    x = 1,132,841,861.10

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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.