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Finding the Fourth Proportional to 430,920,118.80, 604,818,716.40 and 430,920,118.80

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Solution

The fourth proportional to 430,920,118.80, 604,818,716.40 and 430,920,118.80 is: 604,818,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,920,118.80 : 604,818,716.40 = 430,920,118.80 : x
  2. Step 2: Convert to fraction form
    430,920,118.80/604,818,716.40 = 430,920,118.80/x
  3. Step 3: Cross multiply
    430,920,118.80x = 604,818,716.40 × 430,920,118.80
  4. Step 4: Simplify right side
    430,920,118.80x = 260,628,553,123,551,520
  5. Step 5: Solve for x
    x = 260,628,553,123,551,520/430,920,118.80
  6. Step 6: Final answer
    x = 604,818,716.40

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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.