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Finding the Fourth Proportional to 384,898,841.60, 577,348,262.40 and 346,678,246.40

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Solution

The fourth proportional to 384,898,841.60, 577,348,262.40 and 346,678,246.40 is: 520,017,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,898,841.60 : 577,348,262.40 = 346,678,246.40 : x
  2. Step 2: Convert to fraction form
    384,898,841.60/577,348,262.40 = 346,678,246.40/x
  3. Step 3: Cross multiply
    384,898,841.60x = 577,348,262.40 × 346,678,246.40
  4. Step 4: Simplify right side
    384,898,841.60x = 200,154,083,170,919,040
  5. Step 5: Solve for x
    x = 200,154,083,170,919,040/384,898,841.60
  6. Step 6: Final answer
    x = 520,017,369.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.