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Finding the Fourth Proportional to 590,052,594.40, 824,461,200.80 and 590,052,594.40

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Solution

The fourth proportional to 590,052,594.40, 824,461,200.80 and 590,052,594.40 is: 824,461,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,052,594.40 : 824,461,200.80 = 590,052,594.40 : x
  2. Step 2: Convert to fraction form
    590,052,594.40/824,461,200.80 = 590,052,594.40/x
  3. Step 3: Cross multiply
    590,052,594.40x = 824,461,200.80 × 590,052,594.40
  4. Step 4: Simplify right side
    590,052,594.40x = 486,475,470,514,179,328
  5. Step 5: Solve for x
    x = 486,475,470,514,179,328/590,052,594.40
  6. Step 6: Final answer
    x = 824,461,200.80

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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.