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Finding the Fourth Proportional to 678,742,894.90, 1,018,114,342.35 and 269,799,045.40

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Solution

The fourth proportional to 678,742,894.90, 1,018,114,342.35 and 269,799,045.40 is: 404,698,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,742,894.90 : 1,018,114,342.35 = 269,799,045.40 : x
  2. Step 2: Convert to fraction form
    678,742,894.90/1,018,114,342.35 = 269,799,045.40/x
  3. Step 3: Cross multiply
    678,742,894.90x = 1,018,114,342.35 × 269,799,045.40
  4. Step 4: Simplify right side
    678,742,894.90x = 274,686,277,674,078,784
  5. Step 5: Solve for x
    x = 274,686,277,674,078,784/678,742,894.90
  6. Step 6: Final answer
    x = 404,698,568.10

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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.