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Finding the Fourth Proportional to 442,866,200.90, 664,299,301.35 and 212,779,804.10

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Solution

The fourth proportional to 442,866,200.90, 664,299,301.35 and 212,779,804.10 is: 319,169,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,200.90 : 664,299,301.35 = 212,779,804.10 : x
  2. Step 2: Convert to fraction form
    442,866,200.90/664,299,301.35 = 212,779,804.10/x
  3. Step 3: Cross multiply
    442,866,200.90x = 664,299,301.35 × 212,779,804.10
  4. Step 4: Simplify right side
    442,866,200.90x = 141,349,475,205,019,872
  5. Step 5: Solve for x
    x = 141,349,475,205,019,872/442,866,200.90
  6. Step 6: Final answer
    x = 319,169,706.15

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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.