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Finding the Fourth Proportional to 258,771,285,000.40, 388,156,927,500.60 and 258,771,285,000.40

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Solution

The fourth proportional to 258,771,285,000.40, 388,156,927,500.60 and 258,771,285,000.40 is: 388,156,927,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,771,285,000.40 : 388,156,927,500.60 = 258,771,285,000.40 : x
  2. Step 2: Convert to fraction form
    258,771,285,000.40/388,156,927,500.60 = 258,771,285,000.40/x
  3. Step 3: Cross multiply
    258,771,285,000.40x = 388,156,927,500.60 × 258,771,285,000.40
  4. Step 4: Simplify right side
    258,771,285,000.40x = 100,443,866,911,137,347,928,064
  5. Step 5: Solve for x
    x = 100,443,866,911,137,347,928,064/258,771,285,000.40
  6. Step 6: Final answer
    x = 388,156,927,500.60

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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.