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Finding the Fourth Proportional to 473,364,006.40, 710,046,009.60 and 266,739,745.60

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Solution

The fourth proportional to 473,364,006.40, 710,046,009.60 and 266,739,745.60 is: 400,109,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,364,006.40 : 710,046,009.60 = 266,739,745.60 : x
  2. Step 2: Convert to fraction form
    473,364,006.40/710,046,009.60 = 266,739,745.60/x
  3. Step 3: Cross multiply
    473,364,006.40x = 710,046,009.60 × 266,739,745.60
  4. Step 4: Simplify right side
    473,364,006.40x = 189,397,491,964,999,168
  5. Step 5: Solve for x
    x = 189,397,491,964,999,168/473,364,006.40
  6. Step 6: Final answer
    x = 400,109,618.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.