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Finding the Fourth Proportional to 691,318,005.80, 1,036,977,008.70 and 691,318,005.80

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Solution

The fourth proportional to 691,318,005.80, 1,036,977,008.70 and 691,318,005.80 is: 1,036,977,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,318,005.80 : 1,036,977,008.70 = 691,318,005.80 : x
  2. Step 2: Convert to fraction form
    691,318,005.80/1,036,977,008.70 = 691,318,005.80/x
  3. Step 3: Cross multiply
    691,318,005.80x = 1,036,977,008.70 × 691,318,005.80
  4. Step 4: Simplify right side
    691,318,005.80x = 716,880,877,714,933,248
  5. Step 5: Solve for x
    x = 716,880,877,714,933,248/691,318,005.80
  6. Step 6: Final answer
    x = 1,036,977,008.70

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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.