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Finding the Fourth Proportional to 34,877,126,415.60, 52,315,689,623.40 and 34,877,126,415.60

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Solution

The fourth proportional to 34,877,126,415.60, 52,315,689,623.40 and 34,877,126,415.60 is: 52,315,689,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,877,126,415.60 : 52,315,689,623.40 = 34,877,126,415.60 : x
  2. Step 2: Convert to fraction form
    34,877,126,415.60/52,315,689,623.40 = 34,877,126,415.60/x
  3. Step 3: Cross multiply
    34,877,126,415.60x = 52,315,689,623.40 × 34,877,126,415.60
  4. Step 4: Simplify right side
    34,877,126,415.60x = 1,824,620,920,514,614,919,168
  5. Step 5: Solve for x
    x = 1,824,620,920,514,614,919,168/34,877,126,415.60
  6. Step 6: Final answer
    x = 52,315,689,623.40

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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.