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Finding the Fourth Proportional to 384,362,607,592.80, 576,543,911,389.20 and 384,362,607,592.80

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Solution

The fourth proportional to 384,362,607,592.80, 576,543,911,389.20 and 384,362,607,592.80 is: 576,543,911,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,362,607,592.80 : 576,543,911,389.20 = 384,362,607,592.80 : x
  2. Step 2: Convert to fraction form
    384,362,607,592.80/576,543,911,389.20 = 384,362,607,592.80/x
  3. Step 3: Cross multiply
    384,362,607,592.80x = 576,543,911,389.20 × 384,362,607,592.80
  4. Step 4: Simplify right side
    384,362,607,592.80x = 221,601,921,173,305,117,638,656
  5. Step 5: Solve for x
    x = 221,601,921,173,305,117,638,656/384,362,607,592.80
  6. Step 6: Final answer
    x = 576,543,911,389.20

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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.