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Finding the Fourth Proportional to 879,648,814.13, 1,318,833,478.26 and 413,069,814.50

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Solution

The fourth proportional to 879,648,814.13, 1,318,833,478.26 and 413,069,814.50 is: 619,304,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,648,814.13 : 1,318,833,478.26 = 413,069,814.50 : x
  2. Step 2: Convert to fraction form
    879,648,814.13/1,318,833,478.26 = 413,069,814.50/x
  3. Step 3: Cross multiply
    879,648,814.13x = 1,318,833,478.26 × 413,069,814.50
  4. Step 4: Simplify right side
    879,648,814.13x = 544,770,300,214,653,824
  5. Step 5: Solve for x
    x = 544,770,300,214,653,824/879,648,814.13
  6. Step 6: Final answer
    x = 619,304,308.11

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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.