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Finding the Fourth Proportional to 465,064,360.40, 697,596,540.60 and 422,017,639.40

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Solution

The fourth proportional to 465,064,360.40, 697,596,540.60 and 422,017,639.40 is: 633,026,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,064,360.40 : 697,596,540.60 = 422,017,639.40 : x
  2. Step 2: Convert to fraction form
    465,064,360.40/697,596,540.60 = 422,017,639.40/x
  3. Step 3: Cross multiply
    465,064,360.40x = 697,596,540.60 × 422,017,639.40
  4. Step 4: Simplify right side
    465,064,360.40x = 294,398,045,317,618,240
  5. Step 5: Solve for x
    x = 294,398,045,317,618,240/465,064,360.40
  6. Step 6: Final answer
    x = 633,026,459.10

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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.