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Finding the Fourth Proportional to 1,141,736,411.20, 1,601,655,838.40 and 1,141,736,411.20

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Solution

The fourth proportional to 1,141,736,411.20, 1,601,655,838.40 and 1,141,736,411.20 is: 1,601,655,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,736,411.20 : 1,601,655,838.40 = 1,141,736,411.20 : x
  2. Step 2: Convert to fraction form
    1,141,736,411.20/1,601,655,838.40 = 1,141,736,411.20/x
  3. Step 3: Cross multiply
    1,141,736,411.20x = 1,601,655,838.40 × 1,141,736,411.20
  4. Step 4: Simplify right side
    1,141,736,411.20x = 1,828,668,788,912,343,296
  5. Step 5: Solve for x
    x = 1,828,668,788,912,343,296/1,141,736,411.20
  6. Step 6: Final answer
    x = 1,601,655,838.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.