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Finding the Fourth Proportional to 715,968,451.20, 1,005,076,809.60 and 715,968,451.20

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Solution

The fourth proportional to 715,968,451.20, 1,005,076,809.60 and 715,968,451.20 is: 1,005,076,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,968,451.20 : 1,005,076,809.60 = 715,968,451.20 : x
  2. Step 2: Convert to fraction form
    715,968,451.20/1,005,076,809.60 = 715,968,451.20/x
  3. Step 3: Cross multiply
    715,968,451.20x = 1,005,076,809.60 × 715,968,451.20
  4. Step 4: Simplify right side
    715,968,451.20x = 719,603,286,706,349,312
  5. Step 5: Solve for x
    x = 719,603,286,706,349,312/715,968,451.20
  6. Step 6: Final answer
    x = 1,005,076,809.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.