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Finding the Fourth Proportional to 560,360,704.80, 839,407,316.40 and 388,032,103.20

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Solution

The fourth proportional to 560,360,704.80, 839,407,316.40 and 388,032,103.20 is: 581,263,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,360,704.80 : 839,407,316.40 = 388,032,103.20 : x
  2. Step 2: Convert to fraction form
    560,360,704.80/839,407,316.40 = 388,032,103.20/x
  3. Step 3: Cross multiply
    560,360,704.80x = 839,407,316.40 × 388,032,103.20
  4. Step 4: Simplify right side
    560,360,704.80x = 325,716,986,424,159,808
  5. Step 5: Solve for x
    x = 325,716,986,424,159,808/560,360,704.80
  6. Step 6: Final answer
    x = 581,263,075.08

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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.