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Finding the Fourth Proportional to 97,898,382,023.10, 146,847,573,034.65 and 97,898,382,023.10

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Solution

The fourth proportional to 97,898,382,023.10, 146,847,573,034.65 and 97,898,382,023.10 is: 146,847,573,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898,382,023.10 : 146,847,573,034.65 = 97,898,382,023.10 : x
  2. Step 2: Convert to fraction form
    97,898,382,023.10/146,847,573,034.65 = 97,898,382,023.10/x
  3. Step 3: Cross multiply
    97,898,382,023.10x = 146,847,573,034.65 × 97,898,382,023.10
  4. Step 4: Simplify right side
    97,898,382,023.10x = 14,376,139,804,111,244,623,872
  5. Step 5: Solve for x
    x = 14,376,139,804,111,244,623,872/97,898,382,023.10
  6. Step 6: Final answer
    x = 146,847,573,034.65

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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.