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Finding the Fourth Proportional to 304,611,822.96, 456,909,014.40 and 86,261,648.64

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Solution

The fourth proportional to 304,611,822.96, 456,909,014.40 and 86,261,648.64 is: 129,390,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,611,822.96 : 456,909,014.40 = 86,261,648.64 : x
  2. Step 2: Convert to fraction form
    304,611,822.96/456,909,014.40 = 86,261,648.64/x
  3. Step 3: Cross multiply
    304,611,822.96x = 456,909,014.40 × 86,261,648.64
  4. Step 4: Simplify right side
    304,611,822.96x = 39,413,724,860,621,496
  5. Step 5: Solve for x
    x = 39,413,724,860,621,496/304,611,822.96
  6. Step 6: Final answer
    x = 129,390,003.57

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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.