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Finding the Fourth Proportional to 653,340,303, 901,598,216.40 and 355,985,006.49

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Solution

The fourth proportional to 653,340,303, 901,598,216.40 and 355,985,006.49 is: 491,253,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,340,303 : 901,598,216.40 = 355,985,006.49 : x
  2. Step 2: Convert to fraction form
    653,340,303/901,598,216.40 = 355,985,006.49/x
  3. Step 3: Cross multiply
    653,340,303x = 901,598,216.40 × 355,985,006.49
  4. Step 4: Simplify right side
    653,340,303x = 320,955,446,916,526,400
  5. Step 5: Solve for x
    x = 320,955,446,916,526,400/653,340,303
  6. Step 6: Final answer
    x = 491,253,096.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.