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Finding the Fourth Proportional to 642,226,731.80, 900,931,409.80 and 642,226,731.80

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Solution

The fourth proportional to 642,226,731.80, 900,931,409.80 and 642,226,731.80 is: 900,931,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,226,731.80 : 900,931,409.80 = 642,226,731.80 : x
  2. Step 2: Convert to fraction form
    642,226,731.80/900,931,409.80 = 642,226,731.80/x
  3. Step 3: Cross multiply
    642,226,731.80x = 900,931,409.80 × 642,226,731.80
  4. Step 4: Simplify right side
    642,226,731.80x = 578,602,234,891,820,416
  5. Step 5: Solve for x
    x = 578,602,234,891,820,416/642,226,731.80
  6. Step 6: Final answer
    x = 900,931,409.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.