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Finding the Fourth Proportional to 318,920,537,497.60, 478,380,806,246.40 and 318,920,537,497.60

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Solution

The fourth proportional to 318,920,537,497.60, 478,380,806,246.40 and 318,920,537,497.60 is: 478,380,806,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,920,537,497.60 : 478,380,806,246.40 = 318,920,537,497.60 : x
  2. Step 2: Convert to fraction form
    318,920,537,497.60/478,380,806,246.40 = 318,920,537,497.60/x
  3. Step 3: Cross multiply
    318,920,537,497.60x = 478,380,806,246.40 × 318,920,537,497.60
  4. Step 4: Simplify right side
    318,920,537,497.60x = 152,565,463,856,637,137,649,664
  5. Step 5: Solve for x
    x = 152,565,463,856,637,137,649,664/318,920,537,497.60
  6. Step 6: Final answer
    x = 478,380,806,246.40

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1.5x scale

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.