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Finding the Fourth Proportional to 97,386,592,602.09, 146,079,888,903.13 and 97,386,592,602.09

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Solution

The fourth proportional to 97,386,592,602.09, 146,079,888,903.13 and 97,386,592,602.09 is: 146,079,888,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,592,602.09 : 146,079,888,903.13 = 97,386,592,602.09 : x
  2. Step 2: Convert to fraction form
    97,386,592,602.09/146,079,888,903.13 = 97,386,592,602.09/x
  3. Step 3: Cross multiply
    97,386,592,602.09x = 146,079,888,903.13 × 97,386,592,602.09
  4. Step 4: Simplify right side
    97,386,592,602.09x = 14,226,222,627,967,689,818,112
  5. Step 5: Solve for x
    x = 14,226,222,627,967,689,818,112/97,386,592,602.09
  6. Step 6: Final answer
    x = 146,079,888,903.13

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1.5x scale

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.