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Finding the Fourth Proportional to 689,478,055.40, 1,034,217,083.10 and 689,478,055.40

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Solution

The fourth proportional to 689,478,055.40, 1,034,217,083.10 and 689,478,055.40 is: 1,034,217,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,478,055.40 : 1,034,217,083.10 = 689,478,055.40 : x
  2. Step 2: Convert to fraction form
    689,478,055.40/1,034,217,083.10 = 689,478,055.40/x
  3. Step 3: Cross multiply
    689,478,055.40x = 1,034,217,083.10 × 689,478,055.40
  4. Step 4: Simplify right side
    689,478,055.40x = 713,069,983,317,248,256
  5. Step 5: Solve for x
    x = 713,069,983,317,248,256/689,478,055.40
  6. Step 6: Final answer
    x = 1,034,217,083.10

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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.