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Finding the Fourth Proportional to 3,009,685,977,007.30, 4,514,528,965,511.10 and 3,009,685,977,007.30

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Solution

The fourth proportional to 3,009,685,977,007.30, 4,514,528,965,511.10 and 3,009,685,977,007.30 is: 4,514,528,965,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,685,977,007.30 : 4,514,528,965,511.10 = 3,009,685,977,007.30 : x
  2. Step 2: Convert to fraction form
    3,009,685,977,007.30/4,514,528,965,511.10 = 3,009,685,977,007.30/x
  3. Step 3: Cross multiply
    3,009,685,977,007.30x = 4,514,528,965,511.10 × 3,009,685,977,007.30
  4. Step 4: Simplify right side
    3,009,685,977,007.30x = 13,587,314,520,292,029,158,653,952
  5. Step 5: Solve for x
    x = 13,587,314,520,292,029,158,653,952/3,009,685,977,007.30
  6. Step 6: Final answer
    x = 4,514,528,965,511.10

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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.