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Finding the Fourth Proportional to 51,714,686,268.68, 77,572,029,403.01 and 51,714,686,268.68

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Solution

The fourth proportional to 51,714,686,268.68, 77,572,029,403.01 and 51,714,686,268.68 is: 77,572,029,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714,686,268.68 : 77,572,029,403.01 = 51,714,686,268.68 : x
  2. Step 2: Convert to fraction form
    51,714,686,268.68/77,572,029,403.01 = 51,714,686,268.68/x
  3. Step 3: Cross multiply
    51,714,686,268.68x = 77,572,029,403.01 × 51,714,686,268.68
  4. Step 4: Simplify right side
    51,714,686,268.68x = 4,011,613,163,801,094,389,760
  5. Step 5: Solve for x
    x = 4,011,613,163,801,094,389,760/51,714,686,268.68
  6. Step 6: Final answer
    x = 77,572,029,403.01

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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.