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Finding the Fourth Proportional to 145,366,905,931.80, 218,050,358,897.70 and 145,366,905,931.80

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Solution

The fourth proportional to 145,366,905,931.80, 218,050,358,897.70 and 145,366,905,931.80 is: 218,050,358,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,366,905,931.80 : 218,050,358,897.70 = 145,366,905,931.80 : x
  2. Step 2: Convert to fraction form
    145,366,905,931.80/218,050,358,897.70 = 145,366,905,931.80/x
  3. Step 3: Cross multiply
    145,366,905,931.80x = 218,050,358,897.70 × 145,366,905,931.80
  4. Step 4: Simplify right side
    145,366,905,931.80x = 31,697,306,010,277,182,963,712
  5. Step 5: Solve for x
    x = 31,697,306,010,277,182,963,712/145,366,905,931.80
  6. Step 6: Final answer
    x = 218,050,358,897.70

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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.