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Finding the Fourth Proportional to 173,840,803,820.15, 260,761,205,730.22 and 173,840,803,820.15

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Solution

The fourth proportional to 173,840,803,820.15, 260,761,205,730.22 and 173,840,803,820.15 is: 260,761,205,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,803,820.15 : 260,761,205,730.22 = 173,840,803,820.15 : x
  2. Step 2: Convert to fraction form
    173,840,803,820.15/260,761,205,730.22 = 173,840,803,820.15/x
  3. Step 3: Cross multiply
    173,840,803,820.15x = 260,761,205,730.22 × 173,840,803,820.15
  4. Step 4: Simplify right side
    173,840,803,820.15x = 45,330,937,609,252,946,051,072
  5. Step 5: Solve for x
    x = 45,330,937,609,252,946,051,072/173,840,803,820.15
  6. Step 6: Final answer
    x = 260,761,205,730.22

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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.