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Finding the Fourth Proportional to 602,280,186.40, 830,678,066.94 and 435,641,546.44

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Solution

The fourth proportional to 602,280,186.40, 830,678,066.94 and 435,641,546.44 is: 600,846,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,280,186.40 : 830,678,066.94 = 435,641,546.44 : x
  2. Step 2: Convert to fraction form
    602,280,186.40/830,678,066.94 = 435,641,546.44/x
  3. Step 3: Cross multiply
    602,280,186.40x = 830,678,066.94 × 435,641,546.44
  4. Step 4: Simplify right side
    602,280,186.40x = 361,877,877,675,531,456
  5. Step 5: Solve for x
    x = 361,877,877,675,531,456/602,280,186.40
  6. Step 6: Final answer
    x = 600,846,393.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.