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Finding the Fourth Proportional to 159,050,342,281.20, 238,575,513,421.80 and 159,050,342,281.20

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Solution

The fourth proportional to 159,050,342,281.20, 238,575,513,421.80 and 159,050,342,281.20 is: 238,575,513,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,050,342,281.20 : 238,575,513,421.80 = 159,050,342,281.20 : x
  2. Step 2: Convert to fraction form
    159,050,342,281.20/238,575,513,421.80 = 159,050,342,281.20/x
  3. Step 3: Cross multiply
    159,050,342,281.20x = 238,575,513,421.80 × 159,050,342,281.20
  4. Step 4: Simplify right side
    159,050,342,281.20x = 37,945,517,069,650,316,230,656
  5. Step 5: Solve for x
    x = 37,945,517,069,650,316,230,656/159,050,342,281.20
  6. Step 6: Final answer
    x = 238,575,513,421.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.