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Finding the Fourth Proportional to 97,386,592,627.06, 146,079,888,940.58 and 97,386,592,627.06

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Solution

The fourth proportional to 97,386,592,627.06, 146,079,888,940.58 and 97,386,592,627.06 is: 146,079,888,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386,592,627.06 : 146,079,888,940.58 = 97,386,592,627.06 : x
  2. Step 2: Convert to fraction form
    97,386,592,627.06/146,079,888,940.58 = 97,386,592,627.06/x
  3. Step 3: Cross multiply
    97,386,592,627.06x = 146,079,888,940.58 × 97,386,592,627.06
  4. Step 4: Simplify right side
    97,386,592,627.06x = 14,226,222,635,262,429,626,368
  5. Step 5: Solve for x
    x = 14,226,222,635,262,429,626,368/97,386,592,627.06
  6. Step 6: Final answer
    x = 146,079,888,940.58

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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.