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Finding the Fourth Proportional to 524,555,999.40, 735,453,353.40 and 524,555,999.40

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Solution

The fourth proportional to 524,555,999.40, 735,453,353.40 and 524,555,999.40 is: 735,453,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,555,999.40 : 735,453,353.40 = 524,555,999.40 : x
  2. Step 2: Convert to fraction form
    524,555,999.40/735,453,353.40 = 524,555,999.40/x
  3. Step 3: Cross multiply
    524,555,999.40x = 735,453,353.40 × 524,555,999.40
  4. Step 4: Simplify right side
    524,555,999.40x = 385,786,468,804,818,368
  5. Step 5: Solve for x
    x = 385,786,468,804,818,368/524,555,999.40
  6. Step 6: Final answer
    x = 735,453,353.40

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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.