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Finding the Fourth Proportional to 1,242,693,201.77, 1,714,952,941.29 and 678,214,311.38

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Solution

The fourth proportional to 1,242,693,201.77, 1,714,952,941.29 and 678,214,311.38 is: 935,955,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,693,201.77 : 1,714,952,941.29 = 678,214,311.38 : x
  2. Step 2: Convert to fraction form
    1,242,693,201.77/1,714,952,941.29 = 678,214,311.38/x
  3. Step 3: Cross multiply
    1,242,693,201.77x = 1,714,952,941.29 × 678,214,311.38
  4. Step 4: Simplify right side
    1,242,693,201.77x = 1,163,105,628,117,528,064
  5. Step 5: Solve for x
    x = 1,163,105,628,117,528,064/1,242,693,201.77
  6. Step 6: Final answer
    x = 935,955,573.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.