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Finding the Fourth Proportional to 194,773,186,233.67, 292,159,779,350.51 and 194,773,186,233.67

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Solution

The fourth proportional to 194,773,186,233.67, 292,159,779,350.51 and 194,773,186,233.67 is: 292,159,779,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773,186,233.67 : 292,159,779,350.51 = 194,773,186,233.67 : x
  2. Step 2: Convert to fraction form
    194,773,186,233.67/292,159,779,350.51 = 194,773,186,233.67/x
  3. Step 3: Cross multiply
    194,773,186,233.67x = 292,159,779,350.51 × 194,773,186,233.67
  4. Step 4: Simplify right side
    194,773,186,233.67x = 56,904,891,113,424,826,662,912
  5. Step 5: Solve for x
    x = 56,904,891,113,424,826,662,912/194,773,186,233.67
  6. Step 6: Final answer
    x = 292,159,779,350.51

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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.