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Finding the Fourth Proportional to 470,198,543.40, 705,297,815.10 and 470,198,543.40

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Solution

The fourth proportional to 470,198,543.40, 705,297,815.10 and 470,198,543.40 is: 705,297,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,198,543.40 : 705,297,815.10 = 470,198,543.40 : x
  2. Step 2: Convert to fraction form
    470,198,543.40/705,297,815.10 = 470,198,543.40/x
  3. Step 3: Cross multiply
    470,198,543.40x = 705,297,815.10 × 470,198,543.40
  4. Step 4: Simplify right side
    470,198,543.40x = 331,630,005,323,222,528
  5. Step 5: Solve for x
    x = 331,630,005,323,222,528/470,198,543.40
  6. Step 6: Final answer
    x = 705,297,815.10

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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.