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Finding the Fourth Proportional to 102,596,570,869.80, 153,649,968,291.90 and 102,596,570,869.80

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Solution

The fourth proportional to 102,596,570,869.80, 153,649,968,291.90 and 102,596,570,869.80 is: 153,649,968,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596,570,869.80 : 153,649,968,291.90 = 102,596,570,869.80 : x
  2. Step 2: Convert to fraction form
    102,596,570,869.80/153,649,968,291.90 = 102,596,570,869.80/x
  3. Step 3: Cross multiply
    102,596,570,869.80x = 153,649,968,291.90 × 102,596,570,869.80
  4. Step 4: Simplify right side
    102,596,570,869.80x = 15,763,959,861,002,440,278,016
  5. Step 5: Solve for x
    x = 15,763,959,861,002,440,278,016/102,596,570,869.80
  6. Step 6: Final answer
    x = 153,649,968,291.90

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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.