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Finding the Fourth Proportional to 582,337,000,929.60, 873,505,501,394.40 and 582,337,000,929.60

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Solution

The fourth proportional to 582,337,000,929.60, 873,505,501,394.40 and 582,337,000,929.60 is: 873,505,501,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,337,000,929.60 : 873,505,501,394.40 = 582,337,000,929.60 : x
  2. Step 2: Convert to fraction form
    582,337,000,929.60/873,505,501,394.40 = 582,337,000,929.60/x
  3. Step 3: Cross multiply
    582,337,000,929.60x = 873,505,501,394.40 × 582,337,000,929.60
  4. Step 4: Simplify right side
    582,337,000,929.60x = 508,674,573,977,521,418,665,984
  5. Step 5: Solve for x
    x = 508,674,573,977,521,418,665,984/582,337,000,929.60
  6. Step 6: Final answer
    x = 873,505,501,394.40

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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.