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Finding the Fourth Proportional to 710,047,672.80, 1,065,071,509.20 and 710,047,672.80

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Solution

The fourth proportional to 710,047,672.80, 1,065,071,509.20 and 710,047,672.80 is: 1,065,071,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,047,672.80 : 1,065,071,509.20 = 710,047,672.80 : x
  2. Step 2: Convert to fraction form
    710,047,672.80/1,065,071,509.20 = 710,047,672.80/x
  3. Step 3: Cross multiply
    710,047,672.80x = 1,065,071,509.20 × 710,047,672.80
  4. Step 4: Simplify right side
    710,047,672.80x = 756,251,546,473,043,712
  5. Step 5: Solve for x
    x = 756,251,546,473,043,712/710,047,672.80
  6. Step 6: Final answer
    x = 1,065,071,509.20

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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.