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Finding the Fourth Proportional to 86,646,429,009.40, 129,969,643,514.10 and 86,646,429,009.40

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Solution

The fourth proportional to 86,646,429,009.40, 129,969,643,514.10 and 86,646,429,009.40 is: 129,969,643,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646,429,009.40 : 129,969,643,514.10 = 86,646,429,009.40 : x
  2. Step 2: Convert to fraction form
    86,646,429,009.40/129,969,643,514.10 = 86,646,429,009.40/x
  3. Step 3: Cross multiply
    86,646,429,009.40x = 129,969,643,514.10 × 86,646,429,009.40
  4. Step 4: Simplify right side
    86,646,429,009.40x = 11,261,405,490,121,491,349,504
  5. Step 5: Solve for x
    x = 11,261,405,490,121,491,349,504/86,646,429,009.40
  6. Step 6: Final answer
    x = 129,969,643,514.10

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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.