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Finding the Fourth Proportional to 323,280,461.60, 484,920,692.40 and 194,034,010.40

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Solution

The fourth proportional to 323,280,461.60, 484,920,692.40 and 194,034,010.40 is: 291,051,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,280,461.60 : 484,920,692.40 = 194,034,010.40 : x
  2. Step 2: Convert to fraction form
    323,280,461.60/484,920,692.40 = 194,034,010.40/x
  3. Step 3: Cross multiply
    323,280,461.60x = 484,920,692.40 × 194,034,010.40
  4. Step 4: Simplify right side
    323,280,461.60x = 94,091,106,672,316,800
  5. Step 5: Solve for x
    x = 94,091,106,672,316,800/323,280,461.60
  6. Step 6: Final answer
    x = 291,051,015.60

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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.