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Finding the Fourth Proportional to 546,834,509.63, 754,636,328.53 and 311,897,065.25

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Solution

The fourth proportional to 546,834,509.63, 754,636,328.53 and 311,897,065.25 is: 430,420,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,834,509.63 : 754,636,328.53 = 311,897,065.25 : x
  2. Step 2: Convert to fraction form
    546,834,509.63/754,636,328.53 = 311,897,065.25/x
  3. Step 3: Cross multiply
    546,834,509.63x = 754,636,328.53 × 311,897,065.25
  4. Step 4: Simplify right side
    546,834,509.63x = 235,368,856,202,404,704
  5. Step 5: Solve for x
    x = 235,368,856,202,404,704/546,834,509.63
  6. Step 6: Final answer
    x = 430,420,633.77

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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.