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Finding the Fourth Proportional to 978,996,395.46, 1,468,063,666.35 and 518,826,751.14

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Solution

The fourth proportional to 978,996,395.46, 1,468,063,666.35 and 518,826,751.14 is: 778,011,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,996,395.46 : 1,468,063,666.35 = 518,826,751.14 : x
  2. Step 2: Convert to fraction form
    978,996,395.46/1,468,063,666.35 = 518,826,751.14/x
  3. Step 3: Cross multiply
    978,996,395.46x = 1,468,063,666.35 × 518,826,751.14
  4. Step 4: Simplify right side
    978,996,395.46x = 761,670,702,479,047,424
  5. Step 5: Solve for x
    x = 761,670,702,479,047,424/978,996,395.46
  6. Step 6: Final answer
    x = 778,011,753.68

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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.