Finding the Fourth Proportional to 1,217,759,463,927.10, 1,680,652,128,257.60 and 723,365,974,484.30
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Solution
The fourth proportional to 1,217,759,463,927.10, 1,680,652,128,257.60 and 723,365,974,484.30 is: 998,330,623,196.82
Step by Step Solution
- Step 1: Write the proportion equation
1,217,759,463,927.10 : 1,680,652,128,257.60 = 723,365,974,484.30 : x - Step 2: Convert to fraction form
1,217,759,463,927.10/1,680,652,128,257.60 = 723,365,974,484.30/x - Step 3: Cross multiply
1,217,759,463,927.10x = 1,680,652,128,257.60 × 723,365,974,484.30 - Step 4: Simplify right side
1,217,759,463,927.10x = 1,215,726,564,526,171,808,071,680 - Step 5: Solve for x
x = 1,215,726,564,526,171,808,071,680/1,217,759,463,927.10 - Step 6: Final answer
x = 998,330,623,196.82
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.