Finding the Fourth Proportional to 9,564,310,888,906, 14,346,466,333,360 and 9,564,310,888,906
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Solution
The fourth proportional to 9,564,310,888,906, 14,346,466,333,360 and 9,564,310,888,906 is: 14,346,466,333,360
Step by Step Solution
- Step 1: Write the proportion equation
9,564,310,888,906 : 14,346,466,333,360 = 9,564,310,888,906 : x - Step 2: Convert to fraction form
9,564,310,888,906/14,346,466,333,360 = 9,564,310,888,906/x - Step 3: Cross multiply
9,564,310,888,906x = 14,346,466,333,360 × 9,564,310,888,906 - Step 4: Simplify right side
9,564,310,888,906x = 137,214,064,169,478,391,127,343,104 - Step 5: Solve for x
x = 137,214,064,169,478,391,127,343,104/9,564,310,888,906 - Step 6: Final answer
x = 14,346,466,333,360
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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.