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Finding the Fourth Proportional to 539,283,881.80, 744,725,737.80 and 509,904,072.52

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Solution

The fourth proportional to 539,283,881.80, 744,725,737.80 and 509,904,072.52 is: 704,153,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,283,881.80 : 744,725,737.80 = 509,904,072.52 : x
  2. Step 2: Convert to fraction form
    539,283,881.80/744,725,737.80 = 509,904,072.52/x
  3. Step 3: Cross multiply
    539,283,881.80x = 744,725,737.80 × 509,904,072.52
  4. Step 4: Simplify right side
    539,283,881.80x = 379,738,686,614,681,664
  5. Step 5: Solve for x
    x = 379,738,686,614,681,664/539,283,881.80
  6. Step 6: Final answer
    x = 704,153,599.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.