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Finding the Fourth Proportional to 802,386,009.30, 1,121,044,587.90 and 802,386,009.30

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Solution

The fourth proportional to 802,386,009.30, 1,121,044,587.90 and 802,386,009.30 is: 1,121,044,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,386,009.30 : 1,121,044,587.90 = 802,386,009.30 : x
  2. Step 2: Convert to fraction form
    802,386,009.30/1,121,044,587.90 = 802,386,009.30/x
  3. Step 3: Cross multiply
    802,386,009.30x = 1,121,044,587.90 × 802,386,009.30
  4. Step 4: Simplify right side
    802,386,009.30x = 899,510,493,132,444,032
  5. Step 5: Solve for x
    x = 899,510,493,132,444,032/802,386,009.30
  6. Step 6: Final answer
    x = 1,121,044,587.90

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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.