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Finding the Fourth Proportional to 553,169,865.80, 829,754,798.70 and 277,670,851.40

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Solution

The fourth proportional to 553,169,865.80, 829,754,798.70 and 277,670,851.40 is: 416,506,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,169,865.80 : 829,754,798.70 = 277,670,851.40 : x
  2. Step 2: Convert to fraction form
    553,169,865.80/829,754,798.70 = 277,670,851.40/x
  3. Step 3: Cross multiply
    553,169,865.80x = 829,754,798.70 × 277,670,851.40
  4. Step 4: Simplify right side
    553,169,865.80x = 230,398,721,408,264,608
  5. Step 5: Solve for x
    x = 230,398,721,408,264,608/553,169,865.80
  6. Step 6: Final answer
    x = 416,506,277.10

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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.