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Finding the Fourth Proportional to 97,386,592,648.84, 146,079,888,973.26 and 97,386,592,648.84

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Solution

The fourth proportional to 97,386,592,648.84, 146,079,888,973.26 and 97,386,592,648.84 is: 146,079,888,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,592,648.84 : 146,079,888,973.26 = 97,386,592,648.84 : x
  2. Step 2: Convert to fraction form
    97,386,592,648.84/146,079,888,973.26 = 97,386,592,648.84/x
  3. Step 3: Cross multiply
    97,386,592,648.84x = 146,079,888,973.26 × 97,386,592,648.84
  4. Step 4: Simplify right side
    97,386,592,648.84x = 14,226,222,641,625,916,506,112
  5. Step 5: Solve for x
    x = 14,226,222,641,625,916,506,112/97,386,592,648.84
  6. Step 6: Final answer
    x = 146,079,888,973.26

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Double scale
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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.