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Finding the Fourth Proportional to 97,386,592,630.06, 146,079,888,945.08 and 97,386,592,630.06

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Solution

The fourth proportional to 97,386,592,630.06, 146,079,888,945.08 and 97,386,592,630.06 is: 146,079,888,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,592,630.06 : 146,079,888,945.08 = 97,386,592,630.06 : x
  2. Step 2: Convert to fraction form
    97,386,592,630.06/146,079,888,945.08 = 97,386,592,630.06/x
  3. Step 3: Cross multiply
    97,386,592,630.06x = 146,079,888,945.08 × 97,386,592,630.06
  4. Step 4: Simplify right side
    97,386,592,630.06x = 14,226,222,636,138,909,138,944
  5. Step 5: Solve for x
    x = 14,226,222,636,138,909,138,944/97,386,592,630.06
  6. Step 6: Final answer
    x = 146,079,888,945.08

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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.