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Finding the Fourth Proportional to 141,157,730,266.05, 211,736,595,399.07 and 141,157,730,266.05

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Solution

The fourth proportional to 141,157,730,266.05, 211,736,595,399.07 and 141,157,730,266.05 is: 211,736,595,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,157,730,266.05 : 211,736,595,399.07 = 141,157,730,266.05 : x
  2. Step 2: Convert to fraction form
    141,157,730,266.05/211,736,595,399.07 = 141,157,730,266.05/x
  3. Step 3: Cross multiply
    141,157,730,266.05x = 211,736,595,399.07 × 141,157,730,266.05
  4. Step 4: Simplify right side
    141,157,730,266.05x = 29,888,257,220,793,686,032,384
  5. Step 5: Solve for x
    x = 29,888,257,220,793,686,032,384/141,157,730,266.05
  6. Step 6: Final answer
    x = 211,736,595,399.07

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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.