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Finding the Fourth Proportional to 918,789,801.40, 1,378,184,702.10 and 918,789,801.40

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Solution

The fourth proportional to 918,789,801.40, 1,378,184,702.10 and 918,789,801.40 is: 1,378,184,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,789,801.40 : 1,378,184,702.10 = 918,789,801.40 : x
  2. Step 2: Convert to fraction form
    918,789,801.40/1,378,184,702.10 = 918,789,801.40/x
  3. Step 3: Cross multiply
    918,789,801.40x = 1,378,184,702.10 × 918,789,801.40
  4. Step 4: Simplify right side
    918,789,801.40x = 1,266,262,048,734,977,024
  5. Step 5: Solve for x
    x = 1,266,262,048,734,977,024/918,789,801.40
  6. Step 6: Final answer
    x = 1,378,184,702.10

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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.