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Finding the Fourth Proportional to 477,883,557,029.10, 716,825,335,543.65 and 477,883,557,029.10

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Solution

The fourth proportional to 477,883,557,029.10, 716,825,335,543.65 and 477,883,557,029.10 is: 716,825,335,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,883,557,029.10 : 716,825,335,543.65 = 477,883,557,029.10 : x
  2. Step 2: Convert to fraction form
    477,883,557,029.10/716,825,335,543.65 = 477,883,557,029.10/x
  3. Step 3: Cross multiply
    477,883,557,029.10x = 716,825,335,543.65 × 477,883,557,029.10
  4. Step 4: Simplify right side
    477,883,557,029.10x = 342,559,041,118,177,620,656,128
  5. Step 5: Solve for x
    x = 342,559,041,118,177,620,656,128/477,883,557,029.10
  6. Step 6: Final answer
    x = 716,825,335,543.65

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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.