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Finding the Fourth Proportional to 97,386,592,912.65, 146,079,889,368.98 and 97,386,592,912.65

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Solution

The fourth proportional to 97,386,592,912.65, 146,079,889,368.98 and 97,386,592,912.65 is: 146,079,889,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,592,912.65 : 146,079,889,368.98 = 97,386,592,912.65 : x
  2. Step 2: Convert to fraction form
    97,386,592,912.65/146,079,889,368.98 = 97,386,592,912.65/x
  3. Step 3: Cross multiply
    97,386,592,912.65x = 146,079,889,368.98 × 97,386,592,912.65
  4. Step 4: Simplify right side
    97,386,592,912.65x = 14,226,222,718,701,803,667,456
  5. Step 5: Solve for x
    x = 14,226,222,718,701,803,667,456/97,386,592,912.65
  6. Step 6: Final answer
    x = 146,079,889,368.98

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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.