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Finding the Fourth Proportional to 556,241,810.78, 767,652,497.02 and 367,742,603.64

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Solution

The fourth proportional to 556,241,810.78, 767,652,497.02 and 367,742,603.64 is: 507,510,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,241,810.78 : 767,652,497.02 = 367,742,603.64 : x
  2. Step 2: Convert to fraction form
    556,241,810.78/767,652,497.02 = 367,742,603.64/x
  3. Step 3: Cross multiply
    556,241,810.78x = 767,652,497.02 × 367,742,603.64
  4. Step 4: Simplify right side
    556,241,810.78x = 282,298,527,944,882,112
  5. Step 5: Solve for x
    x = 282,298,527,944,882,112/556,241,810.78
  6. Step 6: Final answer
    x = 507,510,443.25

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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.