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Finding the Fourth Proportional to 170,201,105,020.05, 255,301,657,530.07 and 170,201,105,020.05

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Solution

The fourth proportional to 170,201,105,020.05, 255,301,657,530.07 and 170,201,105,020.05 is: 255,301,657,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,201,105,020.05 : 255,301,657,530.07 = 170,201,105,020.05 : x
  2. Step 2: Convert to fraction form
    170,201,105,020.05/255,301,657,530.07 = 170,201,105,020.05/x
  3. Step 3: Cross multiply
    170,201,105,020.05x = 255,301,657,530.07 × 170,201,105,020.05
  4. Step 4: Simplify right side
    170,201,105,020.05x = 43,452,624,225,068,277,301,248
  5. Step 5: Solve for x
    x = 43,452,624,225,068,277,301,248/170,201,105,020.05
  6. Step 6: Final answer
    x = 255,301,657,530.07

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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.