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Finding the Fourth Proportional to 97,386,592,609.65, 146,079,888,914.49 and 97,386,592,609.65

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Solution

The fourth proportional to 97,386,592,609.65, 146,079,888,914.49 and 97,386,592,609.65 is: 146,079,888,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,592,609.65 : 146,079,888,914.49 = 97,386,592,609.65 : x
  2. Step 2: Convert to fraction form
    97,386,592,609.65/146,079,888,914.49 = 97,386,592,609.65/x
  3. Step 3: Cross multiply
    97,386,592,609.65x = 146,079,888,914.49 × 97,386,592,609.65
  4. Step 4: Simplify right side
    97,386,592,609.65x = 14,226,222,630,178,362,753,024
  5. Step 5: Solve for x
    x = 14,226,222,630,178,362,753,024/97,386,592,609.65
  6. Step 6: Final answer
    x = 146,079,888,914.49

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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.