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Finding the Fourth Proportional to 1,034,878,714.10, 1,553,073,898.35 and 728,768,698.10

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Solution

The fourth proportional to 1,034,878,714.10, 1,553,073,898.35 and 728,768,698.10 is: 1,093,685,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,878,714.10 : 1,553,073,898.35 = 728,768,698.10 : x
  2. Step 2: Convert to fraction form
    1,034,878,714.10/1,553,073,898.35 = 728,768,698.10/x
  3. Step 3: Cross multiply
    1,034,878,714.10x = 1,553,073,898.35 × 728,768,698.10
  4. Step 4: Simplify right side
    1,034,878,714.10x = 1,131,831,642,953,621,248
  5. Step 5: Solve for x
    x = 1,131,831,642,953,621,248/1,034,878,714.10
  6. Step 6: Final answer
    x = 1,093,685,305.86

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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.