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Finding the Fourth Proportional to 10,425,920,076,015, 15,638,880,114,022 and 10,425,920,076,015

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Solution

The fourth proportional to 10,425,920,076,015, 15,638,880,114,022 and 10,425,920,076,015 is: 15,638,880,114,022

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425,920,076,015 : 15,638,880,114,022 = 10,425,920,076,015 : x
  2. Step 2: Convert to fraction form
    10,425,920,076,015/15,638,880,114,022 = 10,425,920,076,015/x
  3. Step 3: Cross multiply
    10,425,920,076,015x = 15,638,880,114,022 × 10,425,920,076,015
  4. Step 4: Simplify right side
    10,425,920,076,015x = 163,049,714,147,173,728,834,813,952
  5. Step 5: Solve for x
    x = 163,049,714,147,173,728,834,813,952/10,425,920,076,015
  6. Step 6: Final answer
    x = 15,638,880,114,022

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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.