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Finding the Fourth Proportional to 2,013,941,142.90, 3,020,911,714.36 and 2,013,941,142.90

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Solution

The fourth proportional to 2,013,941,142.90, 3,020,911,714.36 and 2,013,941,142.90 is: 3,020,911,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,941,142.90 : 3,020,911,714.36 = 2,013,941,142.90 : x
  2. Step 2: Convert to fraction form
    2,013,941,142.90/3,020,911,714.36 = 2,013,941,142.90/x
  3. Step 3: Cross multiply
    2,013,941,142.90x = 3,020,911,714.36 × 2,013,941,142.90
  4. Step 4: Simplify right side
    2,013,941,142.90x = 6,083,938,390,613,142,528
  5. Step 5: Solve for x
    x = 6,083,938,390,613,142,528/2,013,941,142.90
  6. Step 6: Final answer
    x = 3,020,911,714.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.