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Finding the Fourth Proportional to 143,547,271,298.70, 215,320,906,948.05 and 143,547,271,298.70

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Solution

The fourth proportional to 143,547,271,298.70, 215,320,906,948.05 and 143,547,271,298.70 is: 215,320,906,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,547,271,298.70 : 215,320,906,948.05 = 143,547,271,298.70 : x
  2. Step 2: Convert to fraction form
    143,547,271,298.70/215,320,906,948.05 = 143,547,271,298.70/x
  3. Step 3: Cross multiply
    143,547,271,298.70x = 215,320,906,948.05 × 143,547,271,298.70
  4. Step 4: Simplify right side
    143,547,271,298.70x = 30,908,728,645,953,871,937,536
  5. Step 5: Solve for x
    x = 30,908,728,645,953,871,937,536/143,547,271,298.70
  6. Step 6: Final answer
    x = 215,320,906,948.05

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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.