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Finding the Fourth Proportional to 715,968,454.70, 1,005,076,814.50 and 715,968,454.70

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Solution

The fourth proportional to 715,968,454.70, 1,005,076,814.50 and 715,968,454.70 is: 1,005,076,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,968,454.70 : 1,005,076,814.50 = 715,968,454.70 : x
  2. Step 2: Convert to fraction form
    715,968,454.70/1,005,076,814.50 = 715,968,454.70/x
  3. Step 3: Cross multiply
    715,968,454.70x = 1,005,076,814.50 × 715,968,454.70
  4. Step 4: Simplify right side
    715,968,454.70x = 719,603,293,732,363,648
  5. Step 5: Solve for x
    x = 719,603,293,732,363,648/715,968,454.70
  6. Step 6: Final answer
    x = 1,005,076,814.50

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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.