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Finding the Fourth Proportional to 859,301,714.16, 1,185,978,582.36 and 506,963,844.72

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Solution

The fourth proportional to 859,301,714.16, 1,185,978,582.36 and 506,963,844.72 is: 699,694,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,301,714.16 : 1,185,978,582.36 = 506,963,844.72 : x
  2. Step 2: Convert to fraction form
    859,301,714.16/1,185,978,582.36 = 506,963,844.72/x
  3. Step 3: Cross multiply
    859,301,714.16x = 1,185,978,582.36 × 506,963,844.72
  4. Step 4: Simplify right side
    859,301,714.16x = 601,248,261,868,800,768
  5. Step 5: Solve for x
    x = 601,248,261,868,800,768/859,301,714.16
  6. Step 6: Final answer
    x = 699,694,009.64

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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.