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Finding the Fourth Proportional to 618,098,688,031.34, 927,148,032,047.02 and 618,098,688,031.34

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Solution

The fourth proportional to 618,098,688,031.34, 927,148,032,047.02 and 618,098,688,031.34 is: 927,148,032,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,098,688,031.34 : 927,148,032,047.02 = 618,098,688,031.34 : x
  2. Step 2: Convert to fraction form
    618,098,688,031.34/927,148,032,047.02 = 618,098,688,031.34/x
  3. Step 3: Cross multiply
    618,098,688,031.34x = 927,148,032,047.02 × 618,098,688,031.34
  4. Step 4: Simplify right side
    618,098,688,031.34x = 573,068,982,219,101,848,993,792
  5. Step 5: Solve for x
    x = 573,068,982,219,101,848,993,792/618,098,688,031.34
  6. Step 6: Final answer
    x = 927,148,032,047.02

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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.