Finding the Fourth Proportional to 525,366,166,239.44, 787,845,513,802.14 and 180,701,633,430.06
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Solution
The fourth proportional to 525,366,166,239.44, 787,845,513,802.14 and 180,701,633,430.06 is: 270,982,374,547.71
Step by Step Solution
- Step 1: Write the proportion equation
525,366,166,239.44 : 787,845,513,802.14 = 180,701,633,430.06 : x - Step 2: Convert to fraction form
525,366,166,239.44/787,845,513,802.14 = 180,701,633,430.06/x - Step 3: Cross multiply
525,366,166,239.44x = 787,845,513,802.14 × 180,701,633,430.06 - Step 4: Simplify right side
525,366,166,239.44x = 142,364,971,234,591,586,123,776 - Step 5: Solve for x
x = 142,364,971,234,591,586,123,776/525,366,166,239.44 - Step 6: Final answer
x = 270,982,374,547.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.