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Finding the Fourth Proportional to 32,976,672,030.45, 49,465,008,045.68 and 32,976,672,030.45

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Solution

The fourth proportional to 32,976,672,030.45, 49,465,008,045.68 and 32,976,672,030.45 is: 49,465,008,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976,672,030.45 : 49,465,008,045.68 = 32,976,672,030.45 : x
  2. Step 2: Convert to fraction form
    32,976,672,030.45/49,465,008,045.68 = 32,976,672,030.45/x
  3. Step 3: Cross multiply
    32,976,672,030.45x = 49,465,008,045.68 × 32,976,672,030.45
  4. Step 4: Simplify right side
    32,976,672,030.45x = 1,631,191,347,305,795,026,944
  5. Step 5: Solve for x
    x = 1,631,191,347,305,795,026,944/32,976,672,030.45
  6. Step 6: Final answer
    x = 49,465,008,045.68

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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.