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Finding the Fourth Proportional to 849,493,807.62, 1,172,360,373.66 and 514,980,429.84

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Solution

The fourth proportional to 849,493,807.62, 1,172,360,373.66 and 514,980,429.84 is: 710,708,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,493,807.62 : 1,172,360,373.66 = 514,980,429.84 : x
  2. Step 2: Convert to fraction form
    849,493,807.62/1,172,360,373.66 = 514,980,429.84/x
  3. Step 3: Cross multiply
    849,493,807.62x = 1,172,360,373.66 × 514,980,429.84
  4. Step 4: Simplify right side
    849,493,807.62x = 603,742,649,154,809,856
  5. Step 5: Solve for x
    x = 603,742,649,154,809,856/849,493,807.62
  6. Step 6: Final answer
    x = 710,708,711.16

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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.