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Finding the Fourth Proportional to 590,053,606.40, 824,462,617.60 and 590,053,606.40

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Solution

The fourth proportional to 590,053,606.40, 824,462,617.60 and 590,053,606.40 is: 824,462,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,053,606.40 : 824,462,617.60 = 590,053,606.40 : x
  2. Step 2: Convert to fraction form
    590,053,606.40/824,462,617.60 = 590,053,606.40/x
  3. Step 3: Cross multiply
    590,053,606.40x = 824,462,617.60 × 590,053,606.40
  4. Step 4: Simplify right side
    590,053,606.40x = 486,477,140,856,864,128
  5. Step 5: Solve for x
    x = 486,477,140,856,864,128/590,053,606.40
  6. Step 6: Final answer
    x = 824,462,617.60

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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.