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Finding the Fourth Proportional to 1,329,695,999.10, 1,994,543,998.65 and 778,697,970.30

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Solution

The fourth proportional to 1,329,695,999.10, 1,994,543,998.65 and 778,697,970.30 is: 1,168,046,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,695,999.10 : 1,994,543,998.65 = 778,697,970.30 : x
  2. Step 2: Convert to fraction form
    1,329,695,999.10/1,994,543,998.65 = 778,697,970.30/x
  3. Step 3: Cross multiply
    1,329,695,999.10x = 1,994,543,998.65 × 778,697,970.30
  4. Step 4: Simplify right side
    1,329,695,999.10x = 1,553,147,363,422,800,896
  5. Step 5: Solve for x
    x = 1,553,147,363,422,800,896/1,329,695,999.10
  6. Step 6: Final answer
    x = 1,168,046,955.45

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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.