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Finding the Fourth Proportional to 213,241,853.04, 319,862,783.04 and 51,683,789.04

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Solution

The fourth proportional to 213,241,853.04, 319,862,783.04 and 51,683,789.04 is: 77,525,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,241,853.04 : 319,862,783.04 = 51,683,789.04 : x
  2. Step 2: Convert to fraction form
    213,241,853.04/319,862,783.04 = 51,683,789.04/x
  3. Step 3: Cross multiply
    213,241,853.04x = 319,862,783.04 × 51,683,789.04
  4. Step 4: Simplify right side
    213,241,853.04x = 16,531,720,600,386,650
  5. Step 5: Solve for x
    x = 16,531,720,600,386,650/213,241,853.04
  6. Step 6: Final answer
    x = 77,525,684.40

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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.