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Finding the Fourth Proportional to 1,068,569,898,032, 1,602,854,847,047.90 and 1,068,569,898,032

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Solution

The fourth proportional to 1,068,569,898,032, 1,602,854,847,047.90 and 1,068,569,898,032 is: 1,602,854,847,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,569,898,032 : 1,602,854,847,047.90 = 1,068,569,898,032 : x
  2. Step 2: Convert to fraction form
    1,068,569,898,032/1,602,854,847,047.90 = 1,068,569,898,032/x
  3. Step 3: Cross multiply
    1,068,569,898,032x = 1,602,854,847,047.90 × 1,068,569,898,032
  4. Step 4: Simplify right side
    1,068,569,898,032x = 1,712,762,440,470,071,238,197,248
  5. Step 5: Solve for x
    x = 1,712,762,440,470,071,238,197,248/1,068,569,898,032
  6. Step 6: Final answer
    x = 1,602,854,847,047.90

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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.