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Finding the Fourth Proportional to 411,804,603.40, 617,706,409.38 and 105,096,749.08

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Solution

The fourth proportional to 411,804,603.40, 617,706,409.38 and 105,096,749.08 is: 157,644,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804,603.40 : 617,706,409.38 = 105,096,749.08 : x
  2. Step 2: Convert to fraction form
    411,804,603.40/617,706,409.38 = 105,096,749.08/x
  3. Step 3: Cross multiply
    411,804,603.40x = 617,706,409.38 × 105,096,749.08
  4. Step 4: Simplify right side
    411,804,603.40x = 64,918,935,511,717,616
  5. Step 5: Solve for x
    x = 64,918,935,511,717,616/411,804,603.40
  6. Step 6: Final answer
    x = 157,644,997.11

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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.