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Finding the Fourth Proportional to 713,367,006.45, 1,070,050,509.68 and 713,367,006.45

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Solution

The fourth proportional to 713,367,006.45, 1,070,050,509.68 and 713,367,006.45 is: 1,070,050,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,367,006.45 : 1,070,050,509.68 = 713,367,006.45 : x
  2. Step 2: Convert to fraction form
    713,367,006.45/1,070,050,509.68 = 713,367,006.45/x
  3. Step 3: Cross multiply
    713,367,006.45x = 1,070,050,509.68 × 713,367,006.45
  4. Step 4: Simplify right side
    713,367,006.45x = 763,338,728,837,151,488
  5. Step 5: Solve for x
    x = 763,338,728,837,151,488/713,367,006.45
  6. Step 6: Final answer
    x = 1,070,050,509.68

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Why These Related Problems?

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