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Finding the Fourth Proportional to 426,492,030.30, 638,604,304.65 and 426,492,030.30

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Solution

The fourth proportional to 426,492,030.30, 638,604,304.65 and 426,492,030.30 is: 638,604,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,492,030.30 : 638,604,304.65 = 426,492,030.30 : x
  2. Step 2: Convert to fraction form
    426,492,030.30/638,604,304.65 = 426,492,030.30/x
  3. Step 3: Cross multiply
    426,492,030.30x = 638,604,304.65 × 426,492,030.30
  4. Step 4: Simplify right side
    426,492,030.30x = 272,359,646,448,498,240
  5. Step 5: Solve for x
    x = 272,359,646,448,498,240/426,492,030.30
  6. Step 6: Final answer
    x = 638,604,304.65

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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.