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Finding the Fourth Proportional to 849,493,800.61, 1,172,360,364 and 514,980,422.84

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Solution

The fourth proportional to 849,493,800.61, 1,172,360,364 and 514,980,422.84 is: 710,708,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,493,800.61 : 1,172,360,364 = 514,980,422.84 : x
  2. Step 2: Convert to fraction form
    849,493,800.61/1,172,360,364 = 514,980,422.84/x
  3. Step 3: Cross multiply
    849,493,800.61x = 1,172,360,364 × 514,980,422.84
  4. Step 4: Simplify right side
    849,493,800.61x = 603,742,635,973,576,320
  5. Step 5: Solve for x
    x = 603,742,635,973,576,320/849,493,800.61
  6. Step 6: Final answer
    x = 710,708,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.