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Finding the Fourth Proportional to 408,146,706,985.20, 612,220,060,477.80 and 408,146,706,985.20

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Solution

The fourth proportional to 408,146,706,985.20, 612,220,060,477.80 and 408,146,706,985.20 is: 612,220,060,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,146,706,985.20 : 612,220,060,477.80 = 408,146,706,985.20 : x
  2. Step 2: Convert to fraction form
    408,146,706,985.20/612,220,060,477.80 = 408,146,706,985.20/x
  3. Step 3: Cross multiply
    408,146,706,985.20x = 612,220,060,477.80 × 408,146,706,985.20
  4. Step 4: Simplify right side
    408,146,706,985.20x = 249,875,601,634,294,084,141,056
  5. Step 5: Solve for x
    x = 249,875,601,634,294,084,141,056/408,146,706,985.20
  6. Step 6: Final answer
    x = 612,220,060,477.80

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1.5x scale

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.