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Finding the Fourth Proportional to 65,129,869,665.60, 97,694,804,498.40 and 65,129,869,665.60

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Solution

The fourth proportional to 65,129,869,665.60, 97,694,804,498.40 and 65,129,869,665.60 is: 97,694,804,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129,869,665.60 : 97,694,804,498.40 = 65,129,869,665.60 : x
  2. Step 2: Convert to fraction form
    65,129,869,665.60/97,694,804,498.40 = 65,129,869,665.60/x
  3. Step 3: Cross multiply
    65,129,869,665.60x = 97,694,804,498.40 × 65,129,869,665.60
  4. Step 4: Simplify right side
    65,129,869,665.60x = 6,362,849,883,987,063,603,200
  5. Step 5: Solve for x
    x = 6,362,849,883,987,063,603,200/65,129,869,665.60
  6. Step 6: Final answer
    x = 97,694,804,498.40

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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.