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Finding the Fourth Proportional to 3,141,939,985,234.40, 4,712,909,977,851.80 and 3,141,939,985,234.40

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Solution

The fourth proportional to 3,141,939,985,234.40, 4,712,909,977,851.80 and 3,141,939,985,234.40 is: 4,712,909,977,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,939,985,234.40 : 4,712,909,977,851.80 = 3,141,939,985,234.40 : x
  2. Step 2: Convert to fraction form
    3,141,939,985,234.40/4,712,909,977,851.80 = 3,141,939,985,234.40/x
  3. Step 3: Cross multiply
    3,141,939,985,234.40x = 4,712,909,977,851.80 × 3,141,939,985,234.40
  4. Step 4: Simplify right side
    3,141,939,985,234.40x = 14,807,680,306,222,740,505,886,720
  5. Step 5: Solve for x
    x = 14,807,680,306,222,740,505,886,720/3,141,939,985,234.40
  6. Step 6: Final answer
    x = 4,712,909,977,851.80

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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.