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Finding the Fourth Proportional to 745,056,009.40, 1,041,717,924.20 and 745,056,009.40

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Solution

The fourth proportional to 745,056,009.40, 1,041,717,924.20 and 745,056,009.40 is: 1,041,717,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,056,009.40 : 1,041,717,924.20 = 745,056,009.40 : x
  2. Step 2: Convert to fraction form
    745,056,009.40/1,041,717,924.20 = 745,056,009.40/x
  3. Step 3: Cross multiply
    745,056,009.40x = 1,041,717,924.20 × 745,056,009.40
  4. Step 4: Simplify right side
    745,056,009.40x = 776,138,199,524,903,680
  5. Step 5: Solve for x
    x = 776,138,199,524,903,680/745,056,009.40
  6. Step 6: Final answer
    x = 1,041,717,924.20

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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.