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Finding the Fourth Proportional to 851,830,457.40, 1,277,745,686.10 and 851,830,457.40

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Solution

The fourth proportional to 851,830,457.40, 1,277,745,686.10 and 851,830,457.40 is: 1,277,745,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,830,457.40 : 1,277,745,686.10 = 851,830,457.40 : x
  2. Step 2: Convert to fraction form
    851,830,457.40/1,277,745,686.10 = 851,830,457.40/x
  3. Step 3: Cross multiply
    851,830,457.40x = 1,277,745,686.10 × 851,830,457.40
  4. Step 4: Simplify right side
    851,830,457.40x = 1,088,422,692,231,439,744
  5. Step 5: Solve for x
    x = 1,088,422,692,231,439,744/851,830,457.40
  6. Step 6: Final answer
    x = 1,277,745,686.10

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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.